15760
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 36828
- Proper Divisor Sum (Aliquot Sum)
- 21068
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6272
- Möbius Function
- 0
- Radical
- 1970
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 27
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of order-consecutive partitions of n.at n=8A007052
- a(n) = a(n-1) + (3+(-1)^n)*a(n-2)/2.at n=15A007068
- E.g.f. sin(x*exp(x)).at n=9A009448
- E.g.f. tan(sinh(x))*cos(x) (odd powers only).at n=4A009680
- Expansion of tanh(sin(x))*exp(x).at n=9A009794
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite NAT = Natrolite Na16[Al16Si24O80].16H2O starting from a T2 atom.at n=13A019201
- Number of triangles a queen can make (starting anywhere) on an n X n board.at n=20A030117
- Expansion of g.f. (1 + x - 2*x^2 - x^3)/(1 - 4*x^2 + 2*x^4).at n=17A030436
- Pisot sequence L(3,10).at n=7A048580
- Numbers k such that k^6 == 1 (mod 7^4).at n=40A056092
- a(0)=1; a(1)=2; a(n) = a(n-1) + a(n-2)*(3 - (-1)^n)/2.at n=16A062113
- Binomial transform of sinh(x)*cosh(sqrt(2)*x).at n=9A084154
- Number of 5 X n (0,1) matrices such that each row and each column is nondecreasing or nonincreasing.at n=7A086115
- Square array of Pell related numbers, read by antidiagonals.at n=63A086350
- Binomial transform of A001541 (with interpolated zeros).at n=9A088013
- a(n) = (27*n^2 + 9*n + 2)/2.at n=34A093485
- Constant term in (1+x)^n mod (1+x^4).at n=16A099586
- a(n) = coefficient of x in (1+x)^n mod (1+x^4).at n=17A099587
- Row sums of triangle A099605, in which row n equals the inverse Binomial transform of column n of the triangle A034870 of even-indexed rows of Pascal's triangle.at n=8A099606
- Array read by antidiagonals, generated by the matrix M = [1,1,1;1,N,1;1,1,1].at n=63A103279