5320
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 9080
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1728
- Möbius Function
- 0
- Radical
- 1330
- Omega Function (Ω)
- 6
- 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
- 54
- 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
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=37A003451
- Number of exterior points formed by extending diagonals of n-gon in general position.at n=13A005701
- If n mod 2 = 0 then n*(n^2-4)/12 else n*(n^2-1)/12.at n=40A006584
- a(n) = (n+1)*(2*n+1)*(3*n+1).at n=9A011199
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/27 ).at n=21A011937
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly five 1's.at n=40A020441
- a(n) = 1*(n+3-1) + 2*(n+3-2) + .... + k*(n+3-k), where k=floor((n+1)/2).at n=37A023857
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (natural numbers >= 2).at n=37A024853
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = (natural numbers), t = (natural numbers >= 3).at n=36A024854
- Numbers that are the sum of 4 distinct positive cubes in 3 or more ways.at n=27A025413
- Even numbers (not equal to 2) to the left of the central elements of the (2,3)-Pascal triangle A029600.at n=22A029613
- Even numbers to right of central numbers of the (3,2)-Pascal triangle A029618.at n=40A029627
- Numbers k such that A102489(k) is divisible by k.at n=24A032563
- Numbers that are divisible by 5 and are the difference between two (different positive) cubes in at least one way.at n=25A038853
- Numbers that are divisible by 10 and are differences between two cubes in at least one way.at n=7A038854
- Expansion of e.g.f. (1-9*x)^(-1/9), 9-factorial numbers.at n=4A045756
- Distinct even numbers in writing first numerator and then denominator of each element of the 1/4-Pascal triangle (by row).at n=21A046589
- Number of rooted 2-dimensional polyominoes with n square cells, with no symmetries removed.at n=6A048664
- Array read by antidiagonals: T(n,k) = number of rooted n-dimensional polycubes with k cells, with no symmetries removed (n >= 1, k >= 1).at n=34A048790
- Number of scalars which can be constructed from the Riemann tensor and metric tensor in n dimensions.at n=15A050297