2376
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 7200
- Proper Divisor Sum (Aliquot Sum)
- 4824
- 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
- 720
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 7
- 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
- 76
- 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
- Degrees of irreducible representations of alternating group A_12.at n=30A003867
- Degrees of irreducible representations of symmetric group S_12.at n=54A003876
- Degrees of irreducible representations of symmetric group S_12.at n=53A003876
- Number of n-gons in cubic curve.at n=4A005782
- Optimal cost of search tree for searching an ordered array of n elements with cost k of probing element k.at n=32A007077
- McKay-Thompson series of class 5B for the Monster group with a(0) = 0.at n=25A007252
- Numbers k such that k^2 and k have same last 3 digits.at n=10A008853
- Coordination sequence T2 for Zeolite Code WEI.at n=34A009918
- Shallit sequence S(14,23), a(n)=[ a(n-1)^2/a(n-2)+1 ].at n=10A010923
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/5).at n=12A011915
- Bisection of A001400.at n=32A014125
- a(n) is the least multiple of n, k*n say, such that phi(k) | sigma(k).at n=35A015756
- Numbers n such that phi(n) | sigma_7(n).at n=52A015765
- Numbers k such that phi(k) | sigma_13(k).at n=44A015771
- Numbers k such that phi(k + 11) | sigma(k).at n=47A015831
- Squares on infinite chessboard at n moves from center using a {2,3} fairy knight.at n=36A018839
- Expansion of 1/((1-4x)(1-5x)(1-9x)).at n=3A018911
- Balanced numbers: numbers k such that phi(k) (A000010) divides sigma(k) (A000203).at n=41A020492
- Number of solutions to c(1)*prime(2) + ... + c(n)*prime(n+1) = 2, where c(i) = +-1 for i > 1, c(1) = 1.at n=19A022899
- a(n) is least k such that k and 6k are anagrams in base n (written in base 10).at n=38A023098