12168
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
- 4
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 35685
- Proper Divisor Sum (Aliquot Sum)
- 23517
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3744
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 7
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = n^3 + 1.at n=24A001093
- sigma_3(n): sum of cubes of divisors of n.at n=22A001158
- Expansion of 8-dimensional cusp form.at n=23A002408
- Fourier coefficients of E_{infinity,4}.at n=23A007331
- a(n) = Sum_{ d >= 1, d divides n} (-1)^(n-d)*d^3.at n=22A008457
- Numerator of sum of -3rd powers of divisors of n.at n=22A017669
- Decimal part of cube root of a(n) starts with 0: first term of runs (cubes excluded).at n=21A034126
- Sum of cubes of unitary divisors of n.at n=22A034677
- Coordination sequence for lattice D*_78 (with edges defined by l_1 norm = 1).at n=2A035824
- Coordination sequence for diamond structure D^+_78. (Edges defined by l_1 norm = 1.)at n=2A035915
- a(n) = sigma_3(2*n+1).at n=11A045823
- T(n,n-1), array T as in A047089.at n=8A047092
- Sum of cubes of odd divisors of n.at n=45A051000
- Sum of cubes of odd divisors of n.at n=22A051000
- Period of the continued fraction for sqrt(2^(2n+1)).at n=14A059927
- a(n) = n^3*Product_{distinct primes p dividing n} (1+1/p^3).at n=22A065959
- a(n) = phi(n^3 + n^2 + n + 1).at n=26A066792
- Numbers k such that the sum of the digits of k equals the sum of the prime divisors of k.at n=41A070275
- Sum of two powers of 23.at n=6A073215
- a(n) = Sum_{ d divides n } (n/d)^(3d).at n=22A073706