13932
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 37268
- Proper Divisor Sum (Aliquot Sum)
- 23336
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4536
- Möbius Function
- 0
- Radical
- 258
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 89
- 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) is the solution to the postage stamp problem with 4 denominations and n stamps.at n=30A001209
- Numbers k such that sigma(phi(k)) = phi(sigma(k)).at n=7A033632
- Step at which card n appears on top of deck for first time in Guy's shuffling problem A035485.at n=38A035490
- Number of 6 X 6 binary matrices with n ones, with no zero rows or columns, up to row and column permutation.at n=16A056037
- These numbers are the record number of steps for the numbers in A057983 to reach the top of the deck in Guy's shuffle (see A035485).at n=7A057984
- Step at which card n appears on top of deck for first time in Guy's shuffling problem A035485.at n=38A060750
- These numbers are the record number of steps for the numbers in A060751 to reach the top of the deck in Guy's shuffle (see A060750).at n=5A060752
- Numbers k such that phi(2*sigma(k)) = 2*sigma(phi(k)).at n=11A067709
- Numbers k such that sigma(phi(k)) divides phi(sigma(k)).at n=17A073858
- (n / product of digits of n) is a semiprime.at n=35A085773
- Numbers k such that sigma(phi(k)) == phi(sigma(k)) (mod k), that is, A033632(k)/k is an integer.at n=9A092584
- Arithmetic mean of two consecutive prime interprimes of second order: interprimes of third order.at n=4A126556
- Numbers k such that both k and k^2/2 are averages of twin prime pairs.at n=18A152787
- Twice 13-gonal numbers: a(n) = n*(11*n - 9).at n=36A152997
- Number of ways to place 3 nonattacking wazirs on a 3 X n board.at n=15A172229
- The number of permutations p of {1,...,n} such that |p(i)-p(i+1)| is in {2,3} for all i from 1 to n-1.at n=22A174703
- a(1)=1. For n>1, a(n) equals the smallest number > a(n-1) of the form a(k) U j U a(k) U j, where U represents concatenation (written in decimal) of the binary representation of the arguments, where 1<=k < n, and j = {0} or {1} or {}.at n=14A175336
- Average of twin prime pairs with multiple and strictly distinct powers.at n=21A177426
- Number of ways to place 5n nonattacking kings on a 10 X 2n cylindrical chessboard.at n=3A194647
- Number of ways to place 4n nonattacking kings on a vertical cylinder 8 X 2n.at n=4A195592