13896
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 37830
- Proper Divisor Sum (Aliquot Sum)
- 23934
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 0
- Radical
- 1158
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 107
- 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
- Numbers that are the sum of 11 positive 8th powers.at n=26A003389
- Numbers that are the sum of 3 positive cubes in 3 or more ways.at n=5A025398
- Numbers that are the sum of 3 distinct positive cubes in 3 or more ways.at n=4A025402
- Least sum of 3 positive cubes in exactly n ways.at n=3A025418
- Least sum of 3 distinct positive cubes in exactly n ways.at n=3A025419
- Numerators of continued fraction convergents to sqrt(580).at n=2A042110
- Erroneous version of A028419.at n=16A046664
- 24-gonal numbers: a(n) = n*(11*n-10).at n=36A051876
- Number of ways to place 3 nonattacking queens on a 3 X n board.at n=27A061989
- Solution to the Dancing School Problem with 3 girls and n+3 boys: f(3,n).at n=24A079908
- 7th binomial transform of the periodic sequence (1,8,1,1,8,1...).at n=4A081034
- a(n) = A082613(n) divided by the n-th power that divides it.at n=21A082614
- a(n) = 24*a(n-1) + a(n-2), starting with a(0) = 2 and a(1) = 24.at n=3A090316
- Largest (or middle) entry in row n of A099766.at n=18A099768
- Triangle T(n, k) = Sum_{m=0..k} Sum_{j=0..m} Multinomial(n-k-m-j, j, m, k), read by rows.at n=47A141724
- Numbers n = concat(a,b) such that phi(n) = phi(a) * phi(b), where phi = A000010.at n=26A147619
- Determinant of power series with alternate signs of gamma matrix with determinant 4!.at n=2A158047
- Number of permutations of 4 indistinguishable copies of 1..n arranged in a circle with exactly 3 local maxima.at n=2A159729
- Triangle related to the o.g.f.s. of the right hand columns of A163934 (E(x,m=4,n)).at n=26A163939
- Averages of two consecutive odd cubes; a(n) = (n^3 + (n+2)^3)/2.at n=11A173962