11584
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
- 2
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 23114
- Proper Divisor Sum (Aliquot Sum)
- 11530
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- 0
- Radical
- 362
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 2
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
- 24
- 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
- Coefficients of ménage hit polynomials.at n=8A000426
- Expansion of {Product_{j>=1} (1 - (-x)^j) - 1}^12 in powers of x.at n=21A001490
- Susceptibility series for diamond.at n=4A002923
- Pseudoprimes to base 65.at n=40A020193
- Numbers k such that the continued fraction for sqrt(k) has period 76.at n=34A020415
- Expansion of e.g.f. of tan(tan(x))*x/2 (even powers only).at n=4A024289
- a(0) = a(1) = 1; a(n+2) = 2*a(n+1) + 2*a(n).at n=10A026150
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 53.at n=32A031551
- Number of partitions of n into parts not of the form 21k, 21k+6 or 21k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=35A035984
- Number of partitions in parts not of the form 25k, 25k+1 or 25k-1. Also number of partitions with no part of size 1 and differences between parts at distance 11 are greater than 1.at n=43A036000
- Theta series of 14-dimensional integral laminated lattice LAMBDA14.3 with minimal norm 4.at n=3A047626
- Triangle giving coefficients of ménage hit polynomials.at n=43A058057
- n!^3 *sum{k=1 to n} mu(k)/k^3, where mu(k) is the Moebius function A008683.at n=3A068339
- Largest term in periodic part of continued fraction expansion of square root of 2^n + 1 or 0 if 2^n + 1 is a square.at n=24A077624
- Largest term in periodic part of continued fraction expansion of square root of -1+2^n or 0 if -1+2^n is square.at n=24A077625
- a(n) = A055086(2^n).at n=24A078159
- a(n)*a(n+3) - a(n+1)*a(n+2) = 2^n, given a(0) = 1, a(1) = 1, and a(2) = 1.at n=12A080876
- a(n) = 8*a(n-1) - 4*a(n-2), where a(0) = 1, a(1) = 4.at n=5A090965
- Values of s in Wolfram's iteration for sqrt(2).at n=12A095804
- Numbers whose deficiency is 54.at n=4A101259