4320
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
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 10800
- 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
- 1152
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 9
- 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
- 46
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of ways of writing n as a sum of 5 squares.at n=42A000132
- Jordan-Polya numbers: products of factorial numbers A000142.at n=46A001013
- a(n) = (7*n+1)*(7*n+2)*(7*n+4).at n=2A001547
- a(n) = n*n! = (n+1)! - n!.at n=6A001563
- a(n) = n! * binomial(n,5).at n=1A001807
- Maximal kissing number of n-dimensional laminated lattice.at n=16A002336
- Number of n-step polygons on f.c.c. lattice.at n=5A002899
- a(n) = n^2*(n+1)^2*(n+2)/12.at n=8A004302
- Denominators of expansion of -W_{-1}(-e^{-1-x^2/2}) where W_{-1} is Lambert W function.at n=5A005446
- Theta series of D_5 lattice.at n=21A005930
- Theta series of D_5 lattice.at n=34A005930
- a(n) = (2^n + 2) a(n-1) (kissing number of Barnes-Wall lattice in dimension 2^n).at n=4A006088
- Generalized Fibonacci numbers A_{n,3}.at n=30A006208
- Expansion of theta_3 / theta_4.at n=15A007096
- Smallest k such that sigma(x) = k has exactly n solutions.at n=35A007368
- Theta series of 16-dimensional Barnes-Wall lattice.at n=2A008409
- Theta series of {D_9}* lattice.at n=20A008424
- Number of ways of writing n as a sum of 9 squares.at n=5A008452
- Theta series of direct sum of 3 copies of hexagonal lattice.at n=11A008654
- Theta series of (probably nonexistent) exceptionally good 16-dimensional sphere packing.at n=4A008774