4920
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 10200
- 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
- 1280
- Möbius Function
- 0
- Radical
- 1230
- 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
- 72
- 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
- McKay-Thompson series of class 5B for the Monster group with a(0) = 0.at n=23A007252
- Theta series of A_9 lattice.at n=3A008449
- a(n) = floor(n*(n-1)*(n-2)/13).at n=41A011895
- a(n) = floor( n*(n-1)*(n-2)/14 ).at n=42A011896
- Theta series of A*_9 lattice.at n=60A023921
- Character of extremal vertex operator algebra of rank 45/2.at n=3A028550
- 6 times triangular numbers: a(n) = 3*n*(n+1).at n=40A028896
- Least term in period of continued fraction for sqrt(n) is 7.at n=11A031431
- Numbers that, when expressed in base 6 and then interpreted in base 10, yield a multiple of the original number.at n=6A032546
- Coordination sequence T5 for Zeolite Code CFI.at n=46A033603
- Dirichlet convolution of primes (with 1) with Catalan numbers.at n=9A034763
- Numbers whose maximal base-9 run length is 4.at n=5A037999
- Base-9 palindromes that start with 6.at n=17A043033
- Numbers having four 6's in base 9.at n=0A043480
- Numbers whose base-3 representation contains exactly four 0's and no 1's.at n=35A044985
- Numbers whose base-3 representation contains exactly four 0's and four 2's.at n=14A045013
- McKay-Thompson series of class 5B for the Monster group with a(0) = 1.at n=23A045483
- Numbers that are repdigits in base 9.at n=30A048334
- Differences of two factorial numbers.at n=17A051949
- E.g.f. (1-x)/(1-2x-x^2).at n=5A052608