9360
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
- 1
Divisibility
- Divisor Count
- 60
- Divisor Sum
- 33852
- Proper Divisor Sum (Aliquot Sum)
- 24492
- 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
- 2304
- Möbius Function
- 0
- Radical
- 390
- Omega Function (Ω)
- 8
- 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
- 60
- 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
- Degrees of irreducible representations of alternating group A_13.at n=44A003868
- Degrees of irreducible representations of symmetric group S_13.at n=79A003877
- Degrees of irreducible representations of symmetric group S_13.at n=78A003877
- Theta series of E_6 lattice.at n=12A004007
- Theta series of {E_6}* lattice.at n=36A005129
- a(n) = n!*Fibonacci(n+1).at n=6A005442
- Sum of divisors of superabundant numbers (A004394).at n=17A007626
- a(n) = (2n+1)*n!.at n=6A007680
- a(n) = floor( n*(n-1)*(n-2)/28 ).at n=65A011910
- Expansion of sin(sin(x))*x/2.at n=5A024253
- Expansion of 1/((1-3x)(1-7x)(1-8x)(1-12x)).at n=3A028092
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 19 (most significant digit on left).at n=36A029488
- Floor( exp(13/21)*n! ).at n=6A030844
- 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=3A036458
- Numbers whose maximal base-8 run length is 4.at n=23A037995
- A triangle related to A000045 (Fibonacci numbers).at n=21A039948
- Denominators of continued fraction convergents to sqrt(693).at n=7A042333
- Numbers having four 2's in base 8.at n=8A043432
- Triangle inverse to that in A046899.at n=42A046900
- 12 times triangular numbers.at n=39A049598