13864
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 26010
- Proper Divisor Sum (Aliquot Sum)
- 12146
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6928
- Möbius Function
- 0
- Radical
- 3466
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 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) = |{m : multiplicative order of 3 mod m = n}|.at n=47A059885
- a(n) = |{m : multiplicative order of 9 mod m = n}|.at n=23A059891
- Powers of sqrt(5) - 1 rounded down.at n=44A179241
- a(n) is the optimal wire-length for an n X n grid.at n=24A195647
- Number of partitions p of n such that 2*min(p) is a part of p.at n=36A238589
- Number of partitions p of n such that median(p) <= multiplicity(max(p)).at n=41A240208
- Number of length n+4 0..1 arrays with at most one downstep in every n consecutive neighbor pairs.at n=38A255995
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 547", based on the 5-celled von Neumann neighborhood.at n=23A272840
- Expansion of 1/(1 - Sum_{k>=2} floor(bigomega(k)/2)*floor(2/bigomega(k))*x^k), where bigomega(k) is the number of prime divisors of k counted with multiplicity (A001222).at n=51A280238
- Number of compositions (ordered partitions) of n into parts having the same number of prime divisors (counted with multiplicity) as n.at n=51A301333
- Expansion of e.g.f. exp(g^4 - 1), where g = 1+x*g^2 is the g.f. of A000108.at n=4A391544