9324
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
- 36
- Divisor Sum
- 27664
- Proper Divisor Sum (Aliquot Sum)
- 18340
- 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
- 2592
- Möbius Function
- 0
- Radical
- 1554
- Omega Function (Ω)
- 6
- 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
- 109
- 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
- A Fielder sequence.at n=14A001643
- Series expansion for rectilinear polymers on square lattice.at n=7A007291
- a(n) = Sum_{ d >= 1, d divides n} (-1)^(n-d)*d^3.at n=21A008457
- a(n) = floor( n*(n-1)*(n-2)/5 ).at n=37A011887
- a(n) = ((n+1)-st Lucas number) - (n-th non-Lucas number).at n=17A014243
- Alkane (or paraffin) numbers l(9,n).at n=12A018210
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTN = ZSM-39 [Si136O272].qR starting with a T1 atom.at n=12A019185
- Number of (undirected) Hamiltonian paths in n-Moebius ladder.at n=21A020875
- Expansion of 1/((1-x)^2(1-x^2)(1-x^3)(1-x^5)) in powers of x.at n=45A028291
- Number of ways to place a non-attacking white and black knight on n X n chessboard.at n=9A035289
- Sums of 4 distinct powers of 6.at n=14A038480
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2 and 3 (mod 4).at n=55A046780
- Numbers n such that 279*2^n-1 is prime.at n=19A050898
- Numbers k > 1 such that, in base 4, k and k^2 contain the same digits in the same proportion.at n=34A061658
- Number of ways to place 3 nonattacking queens on a 3 X n board.at n=24A061989
- a(n) = 3*n*(4*n-1).at n=28A062783
- Numbers k such that phi(k) = 2*tau(k)^2.at n=18A068564
- One-sixth the area of the smallest primitive d-arithmetic triangle, where d=A072330(n).at n=24A072360
- a(n) = Sum_{d divides n} (-1)^(n/d+1)*d^3.at n=21A078307
- Solution to the Dancing School Problem with 3 girls and n+3 boys: f(3,n).at n=21A079908