13280
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 31752
- Proper Divisor Sum (Aliquot Sum)
- 18472
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5248
- Möbius Function
- 0
- Radical
- 830
- 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
- no
- 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
- Coordination sequence for MgCu2, Cu position.at n=29A009930
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 57.at n=34A031555
- Low-temperature magnetization expansion for hexagonal lattice (Potts model, q=4).at n=21A057386
- floor[2^n/Fibonacci(n)].at n=40A057861
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 97 ).at n=34A063370
- Number of partitions into a square number of parts.at n=45A089333
- n!*(9*n^4-78*n^3+235*n^2-438*n+680)/72.at n=2A108034
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 0, 1), (1, -1, 0), (1, 1, -1)}.at n=9A148462
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (-1, 1, 1), (1, -1, 1), (1, 1, 0)}.at n=8A149314
- Least common multiple of prime(n)-3 and prime(n)+3.at n=37A166011
- Numbers n with property that n^2 is a sum of some 70 successive primes.at n=19A166256
- Number of arrangements of 4 nonzero numbers x(i) in -n..n with the sum of x(i)*x(i+1) equal to zero.at n=24A188250
- 1-sequence of reduction of (n^2) by x^2 -> x+1.at n=10A192255
- Mirror of the triangle A193955.at n=55A193956
- Number of ways to arrange 4 nonattacking queens on the lower triangle of an n X n board.at n=9A194494
- Number of 9-length words w over n-ary alphabet such that for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z.at n=4A213288
- Number of n-length words w over 4-ary alphabet such that for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z.at n=9A213292
- Arises from color-symmetrized counting of tensor invariants.at n=9A232219
- Combined weight, as defined at A244094, of the distinct-parts partitions of n.at n=25A234924
- Size of complete unitary aperiodic semigroup with n states.at n=5A236409