4620
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 16128
- Proper Divisor Sum (Aliquot Sum)
- 11508
- 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
- 960
- Möbius Function
- 0
- Radical
- 2310
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 5
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
- 33
- 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
- Landau's function g(n): largest order of permutation of n elements. Equivalently, largest LCM of partitions of n.at n=31A000793
- Landau's function g(n): largest order of permutation of n elements. Equivalently, largest LCM of partitions of n.at n=30A000793
- a(n) = 5*binomial(n, 6).at n=12A000910
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=44A001307
- Number of labeled n-vertex dissections of a ball.at n=4A001762
- Coefficients of Legendre polynomials.at n=3A001802
- Numbers N in A002809 such that there is rho > 0 such that for all A > 0, A008475(A)-A008475(N) >= rho*log(A/N).at n=4A002497
- Increasing values of A000793 (largest order of permutation of n elements).at n=20A002809
- Number of strict 7th-order maximal independent sets in cycle graph.at n=55A007394
- Successive integers produced by Conway's PRIMEGAME.at n=34A007542
- Coordination sequence T2 for Zeolite Code MFI.at n=43A008165
- Coordination sequence T2 for Zeolite Code NON.at n=41A008213
- Theta series of A_5 lattice.at n=33A008445
- Degrees of irreducible representations of group U6(2).at n=18A008948
- Super-3 Numbers (3n^3 contains substring '333' in its decimal expansion).at n=40A014569
- Number of (unordered) triples of integers from [1,n] with no common factors between pairs.at n=45A015617
- Number of triples of different integers from [ 2,n ] with no common factors between pairs.at n=45A015620
- Triangular array T(n,k) read by rows, where T(n,k) = coefficient of x^n*y^k in 1/(1-x-y-(x+y)^2).at n=51A016095
- Triangular array T(n,k) read by rows, where T(n,k) = coefficient of x^n*y^k in 1/(1-x-y-(x+y)^2).at n=48A016095
- Number of lines through exactly 5 points of an n X n grid of points.at n=34A018812