5880
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 20520
- Proper Divisor Sum (Aliquot Sum)
- 14640
- 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
- 1344
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 7
- 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
- 49
- 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
- Stirling numbers of second kind, S(n,7).at n=3A000771
- Stirling numbers of the second kind S(n+3, n).at n=7A001297
- Almost trivalent maps.at n=4A002012
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=26A002653
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=26A002706
- Product of first n Catalan numbers.at n=5A003046
- Triangle of Stirling numbers of the second kind, S2(n,k), n >= 1, 1 <= k <= n.at n=51A008277
- Reflected triangle of Stirling numbers of 2nd kind, S(n,n-k+1), n >= 1, 1 <= k <= n.at n=48A008278
- Theta series of direct sum of 5 copies of D_4 lattice.at n=2A008661
- Stirling numbers of second kind S2(10,n).at n=6A011559
- a(n) = floor( n*(n-1)*(n-2)/20 ).at n=50A011902
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite PHI = Phillipsite K2(Ca,Na2)2[Al6Si10O32].12H2O starting at a T1 atom.at n=5A019057
- Fibonacci sequence beginning 2, 24.at n=13A022374
- a(n) = T(2*n, n), where T is given by A026552.at n=7A026558
- a(n) = T(n, floor(n/2)), where T is given by A026552.at n=14A026563
- Number of ternary irreducible monic polynomials of degree n; dimensions of free Lie algebras.at n=10A027376
- a(n) = 49*(n-1)*(n-2)/2.at n=14A027469
- Every run of digits of n in base 14 has length 2.at n=26A033012
- Numbers whose base-14 expansion has no run of digits with length < 2.at n=40A033027
- Triangle T(n,k) (0 <= k <= n) giving number of chains of length k in partially ordered set formed from subsets of n-set by inclusion.at n=25A038719