10800
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 60
- Divisor Sum
- 38440
- Proper Divisor Sum (Aliquot Sum)
- 27640
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 9
- 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
- 117
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Coefficients of ménage hit polynomials.at n=7A000425
- a(n) = n! * C(n,2).at n=4A001804
- a(n) = n! * binomial(n,4).at n=2A001806
- Theta series of E_6 lattice.at n=11A004007
- Ratios of successive terms are 1,1,2,3,3,4,5,5,6,7,7,...at n=9A004395
- Theta series of {E_6}* lattice.at n=33A005129
- Number of walks on square lattice.at n=11A005565
- Smallest k such that sigma(x) = k has exactly n solutions.at n=31A007368
- a(n) = (2*n - 13)*n^2.at n=20A015246
- Quadruples of different integers from [ 1,n ] with no common factors between pairs.at n=39A015623
- Quadruples of different integers from [ 2,n ] with no common factors between pairs.at n=39A015628
- Triangle of coefficients in expansion of x^n in terms of Laguerre polynomials L_n(x).at n=23A021012
- Triangle of coefficients in expansion of x^n in terms of Laguerre polynomials L_n(x).at n=25A021012
- a(n) = n + (n+1)^2 + (n+2)^3 + (n+3)^4.at n=7A027621
- Numbers that can be expressed as the product of two 3-digit numbers in at least one way.at n=20A033829
- For all n, if d is recursively applied to a(n) exactly 6 times then the fixed point of d-iteration is just reached.at n=5A036458
- Smallest number that is palindromic (with at least 2 digits) in n bases.at n=33A037183
- Numbers k such that the square of d(k) (number of divisors) divides k.at n=13A046754
- Number of functions from a set to itself such that the sizes of the preimages of the individual elements in the range form the n-th partition in Abramowitz and Stegun order.at n=28A049009
- Composites whose sum of digits equals number of its prime factors, with multiplicity.at n=43A050689