13596
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 34944
- Proper Divisor Sum (Aliquot Sum)
- 21348
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4080
- Möbius Function
- 0
- Radical
- 6798
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 120
- 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
- a(n) = n*(25*n - 1)/2.at n=33A022282
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 3 (mod 5).at n=46A035564
- Number of reduced contexts on n unlabeled objects.at n=4A047684
- Number of nonnegative integer 4 X 4 matrices with sum of elements equal to n, up to rotational symmetry.at n=6A054773
- Number of ways to place 2 nonattacking kings on an n X n board.at n=13A061995
- Integers n > 7059 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 7059.at n=31A063058
- Sigmabonacci numbers: a(n)=a(n-1)+Sigma(a(n-2)). Sigma(n)=Sum of divisors of n.at n=15A074371
- a(n) = 7*n^2 + n.at n=44A092277
- Row sums of the triangle A097883.at n=29A098404
- Number of ways to place n nonattacking composite pieces rook + rider[1,6] on an n X n chessboard.at n=7A189853
- Number of (w,x,y,z) with all terms in {1,...,n} and 3w=x+y+z+n+2.at n=37A212252
- Number of oriented polyomino rings of length 4n with fourfold rotational symmetry.at n=15A324406
- Array read by antidiagonals: T(n,k) is the number of n X n nonnegative integer matrices with sum of elements equal to k, up to rotational symmetry.at n=59A343874
- Irregular triangle read by rows: T(n,k) is the number of free polyaboloes (or polytans) with n cells of which 2*k share a hypotenuse in pairs (making up k squares), 0 <= k <= n/2.at n=50A391191