13400
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 31620
- Proper Divisor Sum (Aliquot Sum)
- 18220
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5280
- Möbius Function
- 0
- Radical
- 670
- Omega Function (Ω)
- 6
- 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
- 138
- 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
- Multiplicity of highest weight (or singular) vectors associated with character chi_120 of Monster module.at n=38A034508
- Ooguri-Vafa invariants of disk domain wall degeneracies for brane I in the O(K) -> P^1 X P^1 geometry.at n=3A061606
- Multiples of 8 with digit sum 8.at n=39A069543
- a(n) = (p^2 - 1) / 12, where p is the n-th prime of the form 4*k+1.at n=37A109255
- Integers n such that 4*10^n + 61 is prime.at n=9A110949
- Number of partitions of n such that the largest part is a multiple of the smallest part.at n=34A117086
- Number of distinct Markov type classes of order 5 possible in binary strings of length n.at n=9A132300
- The matrix inverse of the triangle A141680.at n=45A141681
- Number of 6X6 arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to n.at n=27A156389
- Number of n X n arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to 27.at n=3A156487
- Number of compositions of n in which the minimal multiplicity of parts equals 1.at n=14A244164
- Array of basis permutations, seen as a triangle read by rows: Row k (k >= 0) gives the values of b(n, k) = number of permutations of size n (2 <= n <= 2(k+1)) in the permutation basis B(k) (see Comments for further details).at n=45A265163
- Number of 3-cycles in the n X n black bishop graph.at n=20A289161
- Number of odd parts in the partitions of n into 7 parts.at n=42A309622
- A331776(n)/4.at n=15A332594
- Triangle read by rows: numerators of the almost-Riordan array ( (3 - 3*x)/(2*x^2 - 6*x + 3) | 3/(2*x^2 - 6*x + 3), (1 - 3*x - sqrt(5*x^2 - 6*x + 1))/(2*x) ).at n=39A389749