9632
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 22176
- Proper Divisor Sum (Aliquot Sum)
- 12544
- 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
- 4032
- Möbius Function
- 0
- Radical
- 602
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 21
- 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
- sigma_3(n): sum of cubes of divisors of n.at n=20A001158
- Expansion of 8-dimensional cusp form.at n=21A002408
- Fourier coefficients of E_{infinity,4}.at n=21A007331
- a(n) = Sum_{ d >= 1, d divides n} (-1)^(n-d)*d^3.at n=20A008457
- a(n) = Sum_{k=0..floor((n+1)/2)} (k+1) * A008315(n, k).at n=12A027305
- Theta series of odd 8-dimensional 5-modular lattice O(5).at n=26A029719
- Least term in period of continued fraction for sqrt(n) is 7.at n=17A031431
- Sum of n-th powers of divisors of 21.at n=3A034663
- Sum of cubes of unitary divisors of n.at n=20A034677
- a(n) = sigma_3(2*n+1).at n=10A045823
- Sum of cubes of odd divisors of n.at n=20A051000
- Sum of cubes of odd divisors of n.at n=41A051000
- Dirichlet inverse of sigma_3 function (A001158).at n=20A053825
- Numbers k such that k | sigma_13(k) - phi(k)^13.at n=19A055707
- Numbers k such that k | sigma_7(k).at n=42A055711
- Triangle T(n,k) of number of minimal 3-covers of a labeled n-set that cover k points of that set uniquely (k=3,..,n).at n=19A057964
- Number of ways to place 4 nonattacking queens on a 4 X n board.at n=14A061990
- Number of ways to place 7 nonattacking queens on a 7 X n board.at n=10A061993
- a(n) = n^3*Product_{distinct primes p dividing n} (1+1/p^3).at n=20A065959
- Numbers k such that phi(k) = bigomega(k)*tau(k)^2.at n=22A068540