12096
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 56
- Divisor Sum
- 40640
- Proper Divisor Sum (Aliquot Sum)
- 28544
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 10
- 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
- 112
- 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 invertible 2 X 2 matrices mod n.at n=13A000252
- Generalized tangent numbers.at n=4A002302
- Denominators of coefficients for central differences M_{3}'^(2*n+1).at n=3A002677
- Denominator of 2*Stirling_2(n,2)/n!.at n=7A002679
- Numbers k such that 2*3^k + 1 is prime.at n=27A003306
- Expansion of theta series of {E_7}* lattice in powers of q^(1/2).at n=23A003781
- Theta series of the coset of the E_7 lattice in its dual.at n=5A005931
- Triangle of coefficients in expansion of D^n (tan x) in powers of tan x.at n=21A008293
- Order of simple Chevalley group G_2 (q), q = prime power.at n=0A008914
- Expansion of tanh(log(1+x)*exp(x)).at n=8A009785
- Triangle of coefficients in expansion of (1+6x)^n.at n=39A013613
- s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = (composite numbers).at n=35A025102
- Nonzero coefficients in theta series of {E_7}* lattice.at n=11A030443
- Numbers k such that 87*2^k+1 is prime.at n=29A032393
- Expansion of 1/(1-6*x)^6.at n=3A036084
- a(n) = n^6*(n^2 - 1)*(n^6 - 1).at n=2A037248
- Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j).at n=41A038255
- Numbers n such that n and n+1 are differences between 2 positive cubes in at least one way.at n=13A038594
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=37A038852
- Numerators of continued fraction convergents to sqrt(489).at n=7A041932