9024
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
- 28
- Divisor Sum
- 24384
- Proper Divisor Sum (Aliquot Sum)
- 15360
- 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
- 2944
- Möbius Function
- 0
- Radical
- 282
- Omega Function (Ω)
- 8
- 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
- 21
- 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 regions in regular n-gon with all diagonals drawn.at n=23A007678
- Specific heat coefficients for square lattice spin 1 Ising model.at n=12A010111
- Numbers k such that k^16 == 1 (mod 17^3).at n=27A056088
- Numbers k such that k^256 + 1 is prime.at n=28A056995
- a(n) = sigma(a(n-1)) + phi(a(n-1)), a(1)=3.at n=9A063119
- a(0)=1, a(n) = 8*n*(2*n-1).at n=24A067239
- Numbers k such that the number of distinct primes dividing k = number of anti-divisors of k.at n=46A073713
- a(n)=A075443(A075449(n)).at n=49A075450
- Omega(n) = Omega(n-1)^3, where Omega(m) (A001222) denotes the number of prime factors of m, counting multiplicity.at n=39A076155
- Triangle read by rows: a(n,k) = number of Dyck n-paths such that number of DUs at level 1 plus number of UDs at level 2 is k, 0<=k<=n-1.at n=58A096794
- Expansion of 1/sqrt(1 - 4*x - 12*x^2).at n=6A098453
- Indices of primes in sequence defined by A(0) = 83, A(n) = 10*A(n-1) + 63 for n > 0.at n=20A101079
- Square array of expansions of 1/sqrt(1-4x-4*k*x^2), read by antidiagonals.at n=48A110135
- a(1) = 1+2-3 = 0, a(2) = 4+5+6-7 = 8, a(3) = 8+9+10+11-12 = 26, a(4) = 13+14+15+16+17-18 = 57, ...at n=24A111694
- McKay-Thompson series of class 40a for the Monster group.at n=45A112180
- Start with 1 and repeatedly reverse the digits and add 71 to get the next term.at n=40A118218
- Numbers k such that k and k^2 together contain all ten digits.at n=27A122477
- a(n) = Product{k>=0} (1 + floor(n/3^k)).at n=46A132327
- Numbers with 28 divisors.at n=26A137491
- Partial sums of A151791.at n=29A151792