13732
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 24038
- Proper Divisor Sum (Aliquot Sum)
- 10306
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6864
- Möbius Function
- 0
- Radical
- 6866
- Omega Function (Ω)
- 3
- 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
- 151
- 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 indefinitely growing n-step self-avoiding walks on Manhattan lattice.at n=16A006745
- Number of n X 2 0..3 arrays with rows and columns lexicographically nondecreasing read forwards and nonincreasing read backwards.at n=32A201975
- Number of length n+2 0..5 arrays with the sum of second differences multiplied by some arrangement of +-1 equal to zero.at n=3A250558
- T(n,k)=Number of length n+2 0..k arrays with the sum of second differences multiplied by some arrangement of +-1 equal to zero.at n=31A250561
- Number of length 4+2 0..n arrays with the sum of second differences multiplied by some arrangement of +-1 equal to zero.at n=4A250563
- Triangle read by rows: T(n,k) is the number of 2k-cycles in the n X n grid graph (2 <= k <= floor(n^2/2), n >= 2).at n=37A302337
- Number of 3 X n 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=13A302516
- Number of 5-element subsets of [n] whose sum is a triangular number.at n=26A320851
- Number of distinct odd diagrams of permutations of n.at n=7A335926
- Number of partitions of n in which the number of prime parts is not equal to the number of nonprime parts.at n=35A355306
- Number of integer partitions of n with a neighborless singleton.at n=36A356235
- Row sums of the triangular array A357431.at n=37A357417
- a(n) is the number of subsets of the divisors of k which sum to k+1 where k is a number all of whose prime divisors are consecutive primes starting at 2.at n=45A359753
- Irregular table read by rows: T(n,k) is the number of k-gons, k>=3, among all distinct circles that can be constructed from the 4 vertices and the equally spaced 4*n points placed on the sides of a square, using only a compass.at n=20A372980