2380
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 6048
- Proper Divisor Sum (Aliquot Sum)
- 3668
- 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
- 768
- Möbius Function
- 0
- Radical
- 1190
- Omega Function (Ω)
- 5
- 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
- yes
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- 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
- Pentagonal numbers: a(n) = n*(3*n-1)/2.at n=40A000326
- Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24.at n=17A000332
- Associated Stirling numbers: second-order reciprocal Stirling numbers (Fekete) a(n) = [[n, 3]]. The number of 3-orbit permutations of an n-set with at least 2 elements in each orbit.at n=2A000483
- Second-order reciprocal Stirling number (Fekete) a(n) = [[2n+2, n]]. The number of n-orbit permutations of a (2n+2)-set with at least 2 elements in each orbit. Also known as associated Stirling numbers of the first kind (e.g., Comtet).at n=2A000907
- Heptagonal (or 7-gonal) pyramidal numbers: a(n) = n*(n+1)*(5*n-2)/6.at n=14A002413
- Numbers k such that x^k + x + 1 is irreducible over GF(2).at n=23A002475
- Denominators of Cauchy numbers of second type (= Bernoulli numbers B_n^{(n)}).at n=33A002790
- Numbers that are the sum of 7 positive 6th powers.at n=24A003363
- a(n) = least integer m > a(n-1) such that m - a(n-1) != a(j) - a(k) for all j, k less than n; a(1) = 1, a(2) = 2.at n=46A004978
- Random walks (binomial transform of A006054).at n=6A005021
- Number of walks on cubic lattice.at n=4A005571
- a(n) = Sum_{k=0..5} binomial(n,k).at n=13A006261
- Number of intersections of diagonals in the interior of a regular n-gon.at n=16A006561
- Successive integers produced by Conway's PRIMEGAME.at n=38A007542
- Coordination sequence T3 for Zeolite Code AFO.at n=32A008017
- Coordination sequence T4 for Zeolite Code AFR.at n=37A008022
- Coordination sequence T8 for Zeolite Code MFI.at n=31A008171
- Triangle T(n,k) read by rows: associated Stirling numbers of first kind (n >= 2, 1 <= k <= floor(n/2)).at n=14A008306
- 12-dimensional centered tetrahedral numbers.at n=4A008506
- Number of ways of choosing at most n-1 items from a set of size 2*n+1.at n=6A008549