9330
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 22464
- Proper Divisor Sum (Aliquot Sum)
- 13134
- 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
- 2480
- Möbius Function
- 1
- Radical
- 9330
- Omega Function (Ω)
- 4
- 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
- 135
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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,3).at n=10A000392
- a(n) = n*(7*n^2 - 1)/6.at n=20A004126
- Triangle of Stirling numbers of the second kind, S2(n,k), n >= 1, 1 <= k <= n.at n=47A008277
- Reflected triangle of Stirling numbers of 2nd kind, S(n,n-k+1), n >= 1, 1 <= k <= n.at n=52A008278
- Stirling numbers of second kind S2(10,n).at n=2A011559
- n is equal to the number of 1's in all numbers <= n written in base 6.at n=20A014890
- 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 T2 atom.at n=12A019184
- Triangle of a(n,k) = number of k-member minimal covers of an n-set (n >= k >= 1).at n=37A035348
- Triangle of Stirling numbers of 2nd kind, S(n,k), n >= 0, 0 <= k <= n.at n=58A048993
- Number of primitive (aperiodic) palindromic structures using exactly three different symbols.at n=18A056482
- Number of periodic palindromic structures of length n using exactly three different symbols.at n=18A056509
- Number of primitive (period n) periodic palindromic structures using exactly three different symbols.at n=18A056519
- 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=35A057964
- 3rd level triangle related to Eulerian numbers and binomial transforms (A062253 is second level, triangle of Eulerian numbers is first level and triangle with Z(0,0)=1 and Z(n,k)=0 otherwise is 0th level).at n=28A062254
- a(n) = Lucas(n+1) - (n+1).at n=17A066982
- Signed Stirling numbers of the second kind.at n=47A080417
- Expansion of g.f. Product((1+x^i)/(1-x^i),i=1..n-1)/(1-x^n), with n = 7.at n=24A091778
- Sequence arising from enumeration of domino tilings of Aztec Pillow-like regions.at n=8A092438
- Triangle read by rows: T(n,k) = (n+1,k)-th element of (M^6-M)/5, where M is the infinite lower Pascal's triangle matrix, 1<=k<=n.at n=16A096040
- Maximal number of 1432 patterns in a permutation of 1,2,...,n.at n=27A100354