15972
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 40992
- Proper Divisor Sum (Aliquot Sum)
- 25020
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4840
- Möbius Function
- 0
- Radical
- 66
- 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
- 53
- 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
- Expansion of g.f.: (1+x)/(1-11*x).at n=4A003954
- Coordination sequence for hexagonal close-packing.at n=39A007899
- a(n) = floor(n/4)*floor((n+1)/4)*floor((n+2)/4)*floor((n+3)/4).at n=45A008233
- Coordination sequence for alpha-Nd, Position Nd1.at n=39A009948
- a(n) = (2*n - 11)*n^2.at n=22A015245
- T(2n+1,n+2), T given by A026780.at n=6A026899
- Sums of distinct powers of 11.at n=24A033047
- Triangle whose (i,j)-th entry is binomial(i,j)*3^(i-j)*11^j.at n=13A038229
- Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*3^j.at n=11A038317
- Sums of 2 distinct powers of 11.at n=9A038490
- Numbers k such that 4*10^k + 7*R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=13A056708
- Growth series for fundamental group of orientable closed surface of genus 3.at n=4A063813
- Sum of two powers of 11.at n=13A073211
- Slowest increasing sequence all of whose successive digits are the digits of the Fibonacci numbers.at n=11A105967
- Numbers of the form (11^i)*(12^j), with i, j >= 0.at n=11A108218
- Numbers k such that both k and k^2/2 are averages of twin prime pairs.at n=19A152787
- Number of cubic equations ax^3 + bx^2 + cx + d = 0 with integer coefficients |a|,|b|,|c|,|d| <= n, a <> 0, having three distinct real roots.at n=8A155191
- Number of reduced words of length n in Coxeter group on 12 generators S_i with relations (S_i)^2 = (S_i S_j)^5 = I.at n=4A163432
- Number of reduced words of length n in Coxeter group on 12 generators S_i with relations (S_i)^2 = (S_i S_j)^6 = I.at n=4A163957
- Number of reduced words of length n in Coxeter group on 12 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.at n=4A164601