13536
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
- 2
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 39312
- Proper Divisor Sum (Aliquot Sum)
- 25776
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4416
- Möbius Function
- 0
- Radical
- 282
- Omega Function (Ω)
- 8
- 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
- Expansion of (theta_3(z)*theta_3(23z)+theta_2(z)*theta_2(23z))^4.at n=30A028660
- If there were a 9-dimensional unimodular lattice with minimal norm 2, this would be its theta series; however, no such lattice exists.at n=7A032800
- Numbers k such that sigma(x) = k has exactly 8 solutions.at n=33A060664
- Values of m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,57.at n=4A065697
- Number of stable matchings in a certain form of Pseudo-Latin squares of order n based on Latin subsquares.at n=14A069124
- Triangle T(n,k) (n >= 2, 1 <= k <= n-1) giving number of non-crossing trees with n nodes and height k.at n=42A072248
- Diagonal sums of number triangle A106522.at n=16A106523
- 12 times hexagonal numbers: 12*n*(2*n-1).at n=24A143698
- Integer averages of halves of first cubes of natural numbers (n^3)/2 for some n.at n=16A164579
- a(n) = 94*n^2.at n=12A174337
- Numbers p^5*q^2*r where p, q, r are 3 distinct primes.at n=24A179691
- Number of 3-step one or two space at a time rook's tours on an n X n board summed over all starting positions.at n=16A187288
- Number of n X 2 0..3 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=44A201445
- Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..1 introduced in row major order.at n=16A204746
- Number of (n+2) X (1+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=15A252712
- Least m>0 for which m + n^2 is a square and m + triangular(n) is a triangular number (A000217).at n=25A267140
- Expansion of (1-2*x^2) / ( 1-2*x-4*x^2+6*x^3 ).at n=10A271895
- Triangle T(m,k) read by rows, where T(m,k) is the number of ways in which 1 <= k <= m positions can be picked in an m X m square grid such that the picked positions have a central symmetry.at n=31A291717
- Expansion of (eta(q)*eta(q^3))/eta(q^2)^2 in powers of q.at n=46A293306
- Expansion of Product_{k>=1} 1/(1 + q(k)*x^k), where q(k) = number of partitions of k into distinct parts (A000009).at n=32A316231