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  1. One day, one decomposition
    A276655: Numbers j such that Sum_{p|j} 0.p is an integer where p ranges over the prime divisors of j

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A276655.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A2766
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #primes #PrimeNumbers #divisors #graph #threejs #webGL

  2. One day, one decomposition
    A276655: Numbers j such that Sum_{p|j} 0.p is an integer where p ranges over the prime divisors of j

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A276655.
    3D graph Gen, threejs animation ➡️ decompwlj.com/3DgraphGen/A2766
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #primes #PrimeNumbers #divisors #graph #threejs #webGL

  3. One day, one decomposition
    A235034: Numbers whose prime divisors, when multiplied together without carry-bits (as encodings of GF(2)[X]-polynomials, with A048720), produce the original number; numbers for which A234741(n) = n

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A235034.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #prime #divisors #polynomials #graph #threejs #webGL

  4. One day, one decomposition
    A235034: Numbers whose prime divisors, when multiplied together without carry-bits (as encodings of GF(2)[X]-polynomials, with A048720), produce the original number; numbers for which A234741(n) = n

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A235034.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #prime #divisors #polynomials #graph #threejs #webGL

  5. One day, one decomposition
    A122094: Prime divisors of Mersenne numbers. Primes p such that the multiplicative order of 2 modulo p is prime.

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A122094.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #prime #divisors #Mersenne #numbers #PrimeNumbers #graph #threejs #webGL

  6. One day, one decomposition
    A122094: Prime divisors of Mersenne numbers. Primes p such that the multiplicative order of 2 modulo p is prime.

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A122094.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #prime #divisors #Mersenne #numbers #PrimeNumbers #graph #threejs #webGL

  7. One day, one decomposition
    A113502: A number n is included if at least one of its divisors > 1 is a triangular number (i.e., is of the form m(m+1)/2, m >= 2)

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A113502.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #triangular #numbers #divisors #graph #threejs #webGL

  8. One day, one decomposition
    A113502: A number n is included if at least one of its divisors > 1 is a triangular number (i.e., is of the form m(m+1)/2, m >= 2)

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A113502.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #triangular #numbers #divisors #graph #threejs #webGL

  9. One day, one decomposition
    A103664: Primes p such that the number of divisors of p-1 is less than the number of divisors of p+1

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A103664.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #OEIS #javascript #php #3D #numbers #primes #PrimeNumbers #divisors #graph #threejs #webGL

  10. One day, one decomposition
    A103664: Primes p such that the number of divisors of p-1 is less than the number of divisors of p+1

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A103664.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #OEIS #javascript #php #3D #numbers #primes #PrimeNumbers #divisors #graph #threejs #webGL

  11. One day, one decomposition
    A095050: Numbers such that all ten digits are needed to write all positive divisors in decimal representation

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A095050.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #OEIS #javascript #php #3D #numbers #digits #divisors #decimal #representation #graph #threejs #webGL

  12. One day, one decomposition
    A095050: Numbers such that all ten digits are needed to write all positive divisors in decimal representation

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A095050.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #OEIS #javascript #php #3D #numbers #digits #divisors #decimal #representation #graph #threejs #webGL

  13. One day, one decomposition
    A085844: Numbers equal to a permutation (or rearrangement) of the digits of the sum of their proper divisors. Rearrangements which cause leading zeros are excluded

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A085844.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #OEIS #javascript #php #3D #numbers #permutation #digits #sum #proper #divisors #graph #threejs #webGL

  14. One day, one decomposition
    A085844: Numbers equal to a permutation (or rearrangement) of the digits of the sum of their proper divisors. Rearrangements which cause leading zeros are excluded

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A085844.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #OEIS #javascript #php #3D #numbers #permutation #digits #sum #proper #divisors #graph #threejs #webGL

  15. One day, one decomposition
    A083207: Zumkeller or integer-perfect numbers: numbers n whose divisors can be partitioned into two disjoint sets with equal sum

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/Zumkelle
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #OEIS #javascript #php #3D #numbers #divisors #partitioned #disjoint #sets #equal #sum #graph #threejs #webGL

  16. One day, one decomposition
    A083207: Zumkeller or integer-perfect numbers: numbers n whose divisors can be partitioned into two disjoint sets with equal sum

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/Zumkelle
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #OEIS #javascript #php #3D #numbers #divisors #partitioned #disjoint #sets #equal #sum #graph #threejs #webGL

  17. One day, one decomposition
    A080218: Monotonically increasing sequence such that every positive integer n appears if and only if d(n) doesn't (d(n)=number of divisors of n, A000005)

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A080218.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #divisors #graph #threejs #webGL

  18. One day, one decomposition
    A080218: Monotonically increasing sequence such that every positive integer n appears if and only if d(n) doesn't (d(n)=number of divisors of n, A000005)

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A080218.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #divisors #graph #threejs #webGL

  19. One day, one decomposition
    A075592: Numbers n such that number of distinct prime divisors of n is a divisor of n

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A075592.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #distinct #prime #divisors #graph #threejs #webGL

  20. One day, one decomposition
    A075592: Numbers n such that number of distinct prime divisors of n is a divisor of n

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A075592.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #distinct #prime #divisors #graph #threejs #webGL

  21. One day, one decomposition
    A075587: Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 7

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A075587.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #primes #primenumbers #divisors #composite #graph #threejs #webGL

  22. One day, one decomposition
    A075587: Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 7

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A075587.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #primes #primenumbers #divisors #composite #graph #threejs #webGL

  23. One day, one decomposition
    A075584: Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 4

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A075584.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #primes #primenumbers #divisors #composite #graph #threejs #webGL

  24. One day, one decomposition
    A075584: Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 4

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A075584.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #primes #primenumbers #divisors #composite #graph #threejs #webGL

  25. One day, one decomposition
    A071395: Primitive abundant numbers (abundant numbers all of whose proper divisors are deficient numbers)

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A071395.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #primitive #abundant #numbers #proper #divisors #deficient #graph #threejs #webGL

  26. One day, one decomposition
    A071395: Primitive abundant numbers (abundant numbers all of whose proper divisors are deficient numbers)

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A071395.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #primitive #abundant #numbers #proper #divisors #deficient #graph #threejs #webGL

  27. One day, one decomposition
    A063948: Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/Unitary_
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #unitary #untouchable #numbers #proper #divisors #graph #threejs #webGL

  28. One day, one decomposition
    A063948: Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/Unitary_
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #unitary #untouchable #numbers #proper #divisors #graph #threejs #webGL

  29. One day, one decomposition
    A058972: For a rational number p/q let f(p/q) = sum of aliquot divisors of p+q divided by number of divisors of p+q; sequence gives numbers k such that, starting at k/1 and iterating f, an integer is eventually reached

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A058972.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #aliquot #divisors #integer #graph #threejs #webGL

  30. One day, one decomposition
    A058972: For a rational number p/q let f(p/q) = sum of aliquot divisors of p+q divided by number of divisors of p+q; sequence gives numbers k such that, starting at k/1 and iterating f, an integer is eventually reached

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A058972.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #aliquot #divisors #integer #graph #threejs #webGL

  31. One day, one decomposition
    A048109: Numbers having equally many squarefree and nonsquarefree divisors; number of unitary divisors of n (A034444) = number of non-unitary divisors of n (A048105).

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A048109.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #divisors #squarefree #graph #threejs #webGL

  32. One day, one decomposition
    A046642: Numbers k such that k and number of divisors d(k) are relatively prime

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A046642.
    2D, graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #divisors #graph #threejs #webGL

  33. CW: A #CardGame idea, 2/4

    Abuse of the fact that the #deck #size has many #divisors: 126 = 2 * 3^2 * 7 (12 divisors); without the #star #cards, 120 = 2^3 * 3 * 5 (16 divisors).

    I will start, adapting #BlackJack: the cards must add to 69 (a titillating number) instead of 21. Each player starts with 4 cards at hand, instead of 1, to speed up play: in average, about 7 cards are needed to reach 69. The betting, if present, is the same as the original game.