13512
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 33840
- Proper Divisor Sum (Aliquot Sum)
- 20328
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4496
- Möbius Function
- 0
- Radical
- 3378
- Omega Function (Ω)
- 5
- 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
- 37
- 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
- McKay-Thompson series of class 33B for Monster.at n=39A058637
- Numbers n such that A002113(n) is a triangular number.at n=22A101034
- Number of polyominoes consisting of 7 regular unit n-gons.at n=9A103473
- Coefficient of x in the reduction by x^2->x+2 of the polynomial p(n,x) defined below in Comments.at n=8A192377
- Number of length n+5 0..3 arrays with no six consecutive terms having the maximum of any three terms equal to the minimum of the remaining three terms.at n=2A250009
- T(n,k)=Number of length n+5 0..k arrays with no six consecutive terms having the maximum of any three terms equal to the minimum of the remaining three terms.at n=12A250014
- Number of length 3+5 0..n arrays with no six consecutive terms having the maximum of any three terms equal to the minimum of the remaining three terms.at n=2A250017
- Terms of A143407, sorted.at n=29A270564
- Numbers k such that 8*10^k + 51 is prime.at n=19A287296
- Number of aperiodic toroidal necklaces of size n whose entries cover an initial interval of positive integers.at n=6A323871
- Number of partitions p of n such that min(p) <= (number of parts of p) <= max(p).at n=37A325343
- Expansion of (1/x) * Series_Reversion( x*(1-x)^5/(1+x)^2 ).at n=4A365841