9576
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 31200
- Proper Divisor Sum (Aliquot Sum)
- 21624
- 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
- 798
- Omega Function (Ω)
- 7
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 122
- 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
- Number of permutations of [n] with n-4 sequences.at n=3A001760
- Coefficient of x^4 in (1-x-x^2)^(-n).at n=17A006504
- Quintuple factorial numbers: Product_{k = 0..n-1} (5*k + 4).at n=4A008546
- Triangle read by rows, the inverse Bell transform of n!*binomial(4,n) (without column 0).at n=10A011801
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/15).at n=21A011925
- Number of partitions of n into parts of 18 kinds.at n=4A023016
- a(n) = T(2n,n+4), T given by A026725.at n=5A026844
- Every run of digits of n in base 6 has length 2.at n=35A033004
- a(n) = (n-1)*(2*n-1)*(3*n-1)*(4*n-1).at n=5A033593
- Number of partitions satisfying (cn(0,5) <= cn(2,5) = cn(3,5)).at n=45A036804
- Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,1.at n=5A037647
- Numbers n such that n and n+1 are differences between 2 positive cubes in at least one way.at n=11A038594
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=30A038852
- Numbers ending with '6' that are the difference of two positive cubes.at n=35A038861
- Triangle read by rows: T(n,k) is the number of permutations of [n] with k alternating runs (n>=2, k>=1).at n=24A059427
- Number of permutations of [n] with 4 sequences.at n=8A060158
- a(n) = 7*n^2 + 14*n.at n=35A067727
- Numbers occurring twice in A068627.at n=14A068628
- Denominator of the generalized harmonic number H(n,5,4).at n=4A075144
- Stirling2 triangle with scaled diagonals (powers of 6).at n=33A075501