12802
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19836
- Proper Divisor Sum (Aliquot Sum)
- 7034
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6192
- Möbius Function
- -1
- Radical
- 12802
- 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
- 125
- 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
- Coordination sequence for body-centered tetragonal lattice.at n=40A008527
- Coordination sequence for CaF2(1), F position.at n=38A009924
- a(0) = 1, a(n) = 32*n^2 + 2 for n > 0.at n=20A010021
- Number of Catalan objects of size n fixed by Catalan Automorphism A057511/A057512 (deep rotation of general parenthesizations/plane trees).at n=25A057546
- Permutation of N induced by rotating the node 6 left in the infinite planar binary tree shown at A065658.at n=26A065671
- a(n) = (2*n-1)^2 + (2*n+1)^2.at n=40A108100
- a(n) is the smallest unused number such that the RMS (Root Mean Square) of a(1) through a(n) is an integer.at n=44A141391
- a(n) = RMS( A141391(1) through A141391(n) ).at n=43A141392
- a(n) = RMS( A141391(1) through A141391(n) ).at n=44A141392
- Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A005773(n+1)= 1,2,5,13,35,96,267,...at n=48A171488
- Sphenic numbers (A007304) whose neighbors are sphenic.at n=26A248202
- Expansion of eta(q^6)^3 * eta(q^10)^3 / (eta(q^2) * eta(q^3)^2 * eta(q^5)^2 * eta(q^30)) in powers of q.at n=42A257632
- Numbers n such that there is exactly one nontrivial square n-gonal number.at n=58A277449
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 462", based on the 5-celled von Neumann neighborhood.at n=35A288437
- a(n) is the number of integer partitions of n for which the length is equal to the index of the seaweed algebra formed by the integer partition paired with its weight.at n=59A318178
- Table read by antidiagonals: T(w,n) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a tube of cross section 2w X 2w where the walk starts at the middle of the tube.at n=21A337400