5400
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 18600
- Proper Divisor Sum (Aliquot Sum)
- 13200
- 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
- 1440
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 8
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 116
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of red-black rooted trees with n-1 internal nodes.at n=15A001131
- Coordination sequence for 4-dimensional I-centered tetragonal orthogonal lattice.at n=10A001386
- a(n) = n! * n(n-1)/4.at n=6A001809
- Susceptibility series for b.c.c. lattice.at n=15A003194
- Numbers that are the sum of 12 positive 7th powers.at n=33A003379
- a(n) = n*(n+1)^2*(n+2)^2/12.at n=8A004282
- Ratios of successive terms are 1,1,1,2,3,3,3,4,5,5,5,6,...at n=10A004529
- Some permutation of digits is a factorial number.at n=45A007926
- Some nontrivial permutation of digits is a factorial number.at n=38A007927
- Coordination sequence T2 for Zeolite Code DOH.at n=45A008079
- a(n) = floor(n/5)*floor((n+1)/5)*floor((n+2)/5)*floor((n+3)/5)*floor((n+4)/5).at n=28A008382
- Theta series of direct sum of 3 copies of hexagonal lattice.at n=14A008654
- Coordination sequence for NiAs(1), As position.at n=30A009943
- Bisection of A001400.at n=43A014125
- Number of overpartitions of n: an overpartition of n is an ordered sequence of nonincreasing integers that sum to n, where the first occurrence of each integer may be overlined.at n=19A015128
- Triangle of coefficients of Laguerre polynomials n!*L_n(x) (rising powers of x).at n=23A021009
- Triangle of coefficients of Laguerre polynomials L_n(x) (powers of x in decreasing order).at n=25A021010
- Numbers of form 5^i*6^j, with i, j >= 0.at n=18A025622
- Number of primitive polynomials of degree n over GF(8).at n=5A027744
- a(n) = floor(n/2) * floor((n-1)/2) * floor((n-2)/2) * floor((n-3)/2) * floor((n-4)/2) / 12.at n=21A028725