9321
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13440
- Proper Divisor Sum (Aliquot Sum)
- 4119
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5712
- Möbius Function
- -1
- Radical
- 9321
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 60
- Smith Number
- no
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of e.g.f. theta_3^(13/2).at n=4A015672
- Number of connected regular linearized chord diagrams of degree n.at n=9A022494
- Number of partitions of n into 10 unordered relatively prime parts.at n=36A023030
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 64.at n=22A031562
- Composite numbers k such that digits in k and in juxtaposition of prime factors of k are the same (apart from multiplicity).at n=16A035141
- Number of partitions in parts not of the form 15k, 15k+1 or 15k-1. Also number of partitions with no part of size 1 and differences between parts at distance 6 are greater than 1.at n=43A035955
- Number of partitions of n into parts not of the form 19k, 19k+6 or 19k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=34A035975
- Schoenheim bound L_1(n,6,5).at n=19A036833
- Number of B-trees of order 4 with n leaves.at n=21A037026
- Shifts left under transform T where Ta is (identity) DCONV a.at n=36A038046
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 79 ).at n=36A063352
- Consider recurrence b(0) = (2n+1)/4, b(n) = b(0)*ceiling(b(n-1)); sequence gives first integer reached (or -1 if no integer is ever reached).at n=17A081851
- Number of polyominoes consisting of 5 regular unit n-gons.at n=42A103471
- Odd interprimes divisible by 13.at n=41A124619
- Numbers k such that (k!-7)/7 is prime.at n=15A139202
- a(n) = A000111(2n) + A000111(2n+1).at n=4A141458
- Numbers k that are multiples of the reversal of k-1.at n=9A160945
- Second 14-gonal numbers: n*(6*n+5).at n=39A211014
- Fundamental discriminants of real quadratic number fields with class number 10.at n=16A218160
- A binomial convolution.at n=7A249015