13866
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 27744
- Proper Divisor Sum (Aliquot Sum)
- 13878
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4620
- Möbius Function
- -1
- Radical
- 13866
- 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
- 32
- 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
- Consider the trajectory of n under the iteration of a map which sends x to 3x - sigma(x) if this is >= 0; otherwise the iteration stops. The sequence gives values of n which eventually reach 0.at n=29A037159
- Seventh column of triangle A055249.at n=7A055250
- Numbers such that the sum of the factorials of the digits of the fourth power is a square.at n=21A126077
- a(0) = a(1) = 1. a(n) = a(n-1) + a(n - b(n)), where b(n) is smallest prime dividing n.at n=25A137808
- Number of 7 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally.at n=13A188558
- E.g.f. satisfies: A(x) = 1 + Integral A(x) + A(x)^2*log(A(x)) dx.at n=7A249833
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 297", based on the 5-celled von Neumann neighborhood.at n=27A271150
- Triangle read by rows: number of forests of (k+1) ordered trees with 2(n-k) edges having root of even degree and nonroot nodes of outdegree 0 or 2.at n=47A307214
- Number of integer partitions of n such that either the run-lengths or the negated run-lengths are unimodal.at n=36A332746
- Number of graph minors in the n-wheel complement graph.at n=5A353425
- Array read by downward antidiagonals: A(n,k) = A(n-1,k+1) + (k+1)*Sum_{j=0..k} binomial(k, j)*A(n-1,j) with A(0,k) = 1, n >= 0, k >= 0.at n=27A370382