13104
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 60
- Divisor Sum
- 45136
- Proper Divisor Sum (Aliquot Sum)
- 32032
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 546
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 4
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
- 45
- 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
- Order of the group SL(2,Z_n).at n=25A000056
- G.f.: q * Product_{m>=1} (1-q^m)^8*(1-q^2m)^8.at n=33A002288
- Sequence b_3 (n) arising from homology of partitions with even number of blocks.at n=7A003993
- a(n) = (n + 1)*(n + 2)*(n + 4)*(n + 8)*(n + 15)/120.at n=12A006636
- Smallest k such that sigma(x) = k has exactly n solutions.at n=32A007368
- a(n) is the concatenation of n and 8n.at n=12A009470
- a(n) = floor( n*(n-1)*(n-2)/20 ).at n=65A011902
- Number of ordered triples of integers from [ 2,n ] with no global factor.at n=44A015633
- Least sum of 4 positive cubes in exactly n ways.at n=6A025420
- Least sum of 4 distinct positive cubes in exactly n ways.at n=6A025421
- For all n, if d is recursively applied to a(n) exactly 6 times then the fixed point of d-iteration is just reached.at n=12A036458
- Numbers whose base-4 representation contains exactly four 0's and three 3's.at n=8A045084
- Number of 3 X n binary matrices with no zero rows or columns, up to row and column permutation.at n=15A055609
- Triangle read by rows: T(n,c) = number of successive equalities in set partitions of n.at n=60A056857
- Nonpalindromic numbers k such that k is not divisible by 10 and k*R(k) is a square, where R(k) is the reversal of k (A004086).at n=21A062917
- Sum of divisors of central binomial coefficient binomial(n, floor(n/2)).at n=14A064139
- a(n) = 3*(n-2)*(n-3)*(3*n^2-3*n-8)/2.at n=7A064198
- a(n) = binomial(2*n,n) mod ((n+1)*(n+2)*(n+3)).at n=24A065345
- Numbers k such that phi(k)/lambda(k) increases to a record value, where phi(k) is the Euler totient function (A000010) and lambda(k) is the Carmichael lambda function (A002322).at n=16A066605
- Floor(X/Y) where X = concatenation of the (n+1)-st even number through the (2n)-th even number and Y = concatenation of first n even numbers.at n=14A067091