12236
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 26880
- Proper Divisor Sum (Aliquot Sum)
- 14644
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4752
- Möbius Function
- 0
- Radical
- 6118
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 63
- 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 (undirected) Hamiltonian paths in n-Moebius ladder.at n=23A020875
- Expansion of 1/(1-4*x)^(19/2).at n=3A020930
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = (primes).at n=26A024603
- "DHK[ 5 ]" (bracelet, identity, unlabeled, 5 parts) transform of 1,1,1,1,...at n=36A032246
- Number of primitive (period n) step cyclic shifted sequences using exactly three different symbols.at n=11A056425
- Number of ways to place 3 nonattacking queens on a 3 X n board.at n=26A061989
- Rounded volume of a regular tetrahedron with edge length n.at n=47A071399
- Solution to the Dancing School Problem with 3 girls and n+3 boys: f(3,n).at n=23A079908
- Even numbers k such that the central binomial coefficient A000984(k, k/2) is divisible by k^2.at n=8A080395
- a(n) = 23*a(n-1) + a(n-2), starting with a(0) = 2 and a(1) = 23.at n=3A090314
- Consider the family of multigraphs enriched by the species of cycles. Sequence gives the triangle read by rows giving coefficients of polynomials arising from enumeration of those multigraphs on n edges.at n=45A098283
- Minimal peaks in digital expansions of Pi: positions of peaks equal to 1.at n=12A105275
- Number of return steps to the line y = x from the line y = x+1 (i.e., E steps from the line y = x+1 to the line y = x) in all Delannoy paths of length n.at n=6A110099
- Let n = a_1a_2...a_k, where the a_i are digits. a(n) = least multiple of n of the type b_1a_1b_2a_2...a_kb_{k+1}, obtained by inserting single digits b_i in the gaps and both ends; 0 if no such number exists.at n=22A110735
- a(n) = 6*a(n-5) - a(n-10) + 98 with a(0)=0, a(1)=11, a(2)=35, a(3)=56, a(4)=104, a(5)=147, a(6)=204, a(7)=336, a(8)=455, a(9)=731.at n=17A118554
- Number of planar triangular n X n X n nonnegative integer grids with mirror symmetry about one altitude with every similarly oriented 5 X 5 X 5 subtriangle summing to 12.at n=15A154086
- Consider all consecutive integer Pythagorean 9-tuples (X, X+1, X+2, X+3, X+4, Z-3, Z-2, Z-1, Z) ordered by increasing Z; sequence gives X values.at n=3A157092
- Row sums of triangle T(j,k) = (j^k) mod (j*k) for 1 <= k <= j (see A096133).at n=45A157351
- Averages of two consecutive even cubes: (n^3 + (n+2)^3)/2.at n=11A173961
- Floor((n+1/n)^3).at n=22A197602