12504
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 31320
- Proper Divisor Sum (Aliquot Sum)
- 18816
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4160
- Möbius Function
- 0
- Radical
- 3126
- Omega Function (Ω)
- 5
- 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
- 156
- 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
- a(n) = floor(Fibonacci(n)/6).at n=25A004699
- a(n) = floor(n*phi^13), where phi is the golden ratio, A001622.at n=24A004928
- a(n) = round(n*phi^13), where phi is the golden ratio, A001622.at n=24A004948
- Zeroth correlation moment for D_4 lattice.at n=2A010561
- Duplicate of A009468.at n=8A012266
- Base-5 palindromes that start with 4.at n=37A043009
- a(n+1) = a(n)/2 if 2|a(n), a(n)/3 if 3|a(n), a(n)/5 if 5|a(n), a(n)/7 if 7|a(n), a(n)/11 if 11|a(n), a(n)/13 if 13|a(n), otherwise 17*a(n)+1.at n=7A057534
- Exp(n) is further from an integer than any previous exp(k) for 1 <= k < n.at n=18A080053
- Numbers whose set of base 5 digits is {0,4}.at n=33A097251
- Numerator of Cotesian number C(n,1).at n=11A100643
- Molecular topological indices of the path graphs P_n.at n=26A121318
- a(n) = 1728*n - 1320.at n=7A157263
- [s(k)-s(j)]/6, where the pairs (k,j) are given by A205857 and A205858, and s(k) denotes the (k+1)-st Fibonacci number.at n=38A205860
- G.f. A(x) satisfies: 1 = ...(((((A(x) - x)^(1/3) - x^2)^(1/3) - x^3)^(1/3) - x^4)^(1/3) - x^5)^(1/3) -...- x^n)^(1/3) -..., an infinite series of nested cube roots.at n=9A275690
- Numbers k such that (26*10^k - 23)/3 is prime.at n=24A276046
- Square array T(n,k) = number of separable polynomials of degree <= k in Z/n[x], n>=1, k>=1, read by antidiagonals.at n=40A284367
- Number of unbranched tri-4-catafusenes under the symmetry point group C_{2v} as a function of the number of hexagons (see Cyvin et al. (1996) for precise definition).at n=16A323939
- Number of integer partitions of n whose negated run-lengths are not unimodal.at n=38A332639
- Triangle read by rows: T(n, k) = n! * 4^k * hypergeom([-k], [-n], 1/4).at n=23A375613