12486
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24984
- Proper Divisor Sum (Aliquot Sum)
- 12498
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4160
- Möbius Function
- -1
- Radical
- 12486
- Omega Function (Ω)
- 3
- 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
- 63
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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 unlabeled rooted trees with n nodes (or connected functions with a fixed point).at n=13A000081
- Inverse WEIGH transform of A038000.at n=24A038001
- Inverse WEIGH transform of A038000.at n=49A038001
- Number of paths of length n+2 originating at an interior vertex of 4 X 4 Boggle board.at n=14A063002
- a(n) = smallest k such that the digit sum of 8k is n.at n=42A077495
- Starting positions of strings of three 2's in the decimal expansion of Pi.at n=15A083606
- Starting positions of strings of four 2's in the decimal expansion of Pi.at n=2A083607
- Expansion of chi(x) / phi(x^2) in powers of x where phi(), chi() are Ramanujan theta functions.at n=40A085261
- Bisection of A000081 (odd part).at n=6A100427
- Triangle of the numbers of different forests with m rooted trees having distinct orders.at n=78A106236
- Number of trivially-perfect graphs on n nodes.at n=11A123467
- Triangle T(n,k), n >= 1, 1 <= k <= n, read by rows, where sequence a_k of column k has a_k(0)=0, followed by (k+1)-fold 1 and a_k(n) shifts k places left under Euler transform.at n=78A144018
- Number of distinct values taken by 10^10^...^10 (with n 10's and parentheses inserted in all possible ways).at n=12A145550
- Fourth powers (n * n * n * n) in carryless arithmetic mod 10.at n=18A169886
- Fourth powers (n * n * n * n) in carryless arithmetic mod 10.at n=34A169886
- Irregular triangle read by rows: T(n,k), n >= 2, 1 <= k <= n/2, = number of rooted forests with n nodes and k trees, with at least two nodes in each tree.at n=36A174135
- Number of stacks of length 1 in all 2ndary structures of size n.at n=13A202839
- Number of (w,x,y,z) with all terms in {0,...,n} and at least one of these conditions holds: w=R, x<R, y<R, z<R, where R = max{w,x,y,z} - min{w,x,y,z}.at n=10A212749
- The maximum possible number of rooted triples consistent with any galled-tree (level-1 phylogenetic network) containing exactly n leaves.at n=38A216499
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 313", based on the 5-celled von Neumann neighborhood.at n=26A271202