11536
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 25792
- Proper Divisor Sum (Aliquot Sum)
- 14256
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4896
- Möbius Function
- 0
- Radical
- 1442
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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
- Hexagonal prism numbers: a(n) = (n + 1)*(3*n^2 + 3*n + 1).at n=15A005915
- Expansion of e.g.f.: sin(tanh(x))*exp(x).at n=9A009524
- Expansion of e.g.f. sinh(tan(x))*cos(x), odd powers only.at n=4A009604
- a(n+1) is the smallest number > a(n) such that the digits of a(n)^2 are all (with multiplicity) contained in the digits of a(n+1)^2, with a(0)=1.at n=19A014563
- Conjectured formula for irreducible 5-fold Euler sums of weight 2n+13.at n=41A019450
- a(n) = (d(n)-r(n))/5, where d = A026049 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=51A026051
- Expansion of 1/((1-2x)(1-8x)(1-10x)(1-12x)).at n=3A028019
- Theta series of A2[hole]^4.at n=30A033690
- Open 3-dimensional ball numbers (version 4): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2, 1/2, 1/2).at n=28A053596
- Nearest integer to (n+1)^3/9.at n=46A060999
- Numbers n such that sum of squares of even digits of n equals sum of squares of odd digits of n.at n=6A076164
- Expansion of (1-x)/(1-x+x^2+x^3).at n=33A078016
- Expansion of (1-x)/(1 + x + x^2 - x^3).at n=31A078046
- a(n) = (1/24)*(sigma_3(2*n-1) - sigma_1(2*n-1)).at n=32A081861
- Number of ways to toss a coin n times and not get a run of four.at n=15A135491
- Positive numbers of the form x^4 - 6 * x^2 * y^2 + y^4 (where x,y are integers).at n=28A135789
- a(n) = 2*{0,a(n-2),0} + 2*{-1/2,a(n-1)}+2*{a(n-1),-1/2}.at n=47A152602
- a(n) = 2*{0,a(n-2),0} + 2*{-1/2,a(n-1)}+2*{a(n-1),-1/2}.at n=52A152602
- a(1)=1, a(n) = 3*n*a(n-1) + 1, n > 1.at n=4A173516
- Nonhomogeneous three-term sequence a(n) = a(n-1) + a(n-2) + n.at n=16A179991