2310
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 6912
- Proper Divisor Sum (Aliquot Sum)
- 4602
- 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
- 480
- Möbius Function
- -1
- Radical
- 2310
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- yes
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
- 32
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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=28A000793
- a(n) = 5*binomial(n, 6).at n=11A000910
- a(n) = (2n+3)!/(n!*(n+2)!).at n=4A000917
- Primorial numbers (first definition): product of first n primes. Sometimes written prime(n)#.at n=5A002110
- a(n) = (2*n+3)!/(6*n!*(n+1)!).at n=4A002802
- Increasing values of A000793 (largest order of permutation of n elements).at n=18A002809
- a(n) = LCM(1,2,...,n) / n.at n=11A002944
- Highest degree of an irreducible representation of symmetric group S_n of degree n.at n=10A003040
- Triangle of denominators in Leibniz's Harmonic Triangle a(n,k), n >= 1, 1 <= k <= n.at n=61A003506
- Triangle of denominators in Leibniz's Harmonic Triangle a(n,k), n >= 1, 1 <= k <= n.at n=59A003506
- Degrees of irreducible representations of alternating group A_11.at n=30A003866
- Degrees of irreducible representations of symmetric group S_11.at n=54A003875
- Degrees of irreducible representations of symmetric group S_11.at n=55A003875
- a(n) = (2^n/n!) * Product_{k=0..n-1} (4*k + 3).at n=4A004982
- Triangulations of the disk G_{3,n}.at n=4A005499
- G.f.: 2*(1-x^3)/((1-x)^5*(1+x)^2).at n=19A005996
- McKay-Thompson series of class 5B for the Monster group with a(0) = 0.at n=17A007252
- Sum of next n primes.at n=9A007468
- Coordination sequence T6 for Zeolite Code MFS.at n=30A008178
- Coordination sequence T6 for Zeolite Code MTT.at n=30A008194