9384
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 25920
- Proper Divisor Sum (Aliquot Sum)
- 16536
- 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
- 2816
- Möbius Function
- 0
- Radical
- 2346
- Omega Function (Ω)
- 6
- 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
- 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
- a(n) = floor(n*(n+2)*(2*n-1)/8).at n=32A007518
- a(n) = (n+1)*(2*n+1)*(3*n+1).at n=11A011199
- Second coordinate of fundamental unit of real quadratic field with discriminant A003658(n), n >= 2.at n=53A014046
- Numbers n such that (phi(n) + 1) | sigma(n + 1), where phi is Euler's totient function A000010.at n=8A015775
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite NON = Nonasil-[ 4158 ] [Si88O176].4R starting with a T5 atom.at n=12A019211
- Expansion of Product_{m>=1} (1+q^m)^(-23).at n=4A022618
- a(n) = T(2n,n), T given by A026648.at n=7A026649
- a(n) = T(n,[ n/2 ]), T given by A026648.at n=14A026654
- a(n) = C(n+2, 2) + C(n+2, 3) + C(n+2, 4) + C(n+2, 5).at n=15A027660
- Euler transform of 3 2 1 1 1 1 1 1...at n=17A029859
- a(n) = 4*n*(2*n + 1).at n=34A033586
- Number of partitions of n into parts not of the form 23k, 23k+8 or 23k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=33A035996
- a(n) = A028321(n)/2.at n=36A051473
- Write fundamental unit for real quadratic field of discriminant n as x + y*omega; sequence gives values of y for n == 1 (mod 4).at n=33A053373
- Integer part of (Product(n^((1 + log(i))/i^2), {i, 1, n})).at n=42A062482
- Numbers k that, when expressed in base 6 and then interpreted in base 8, give a multiple of k.at n=18A062937
- Multiples of 24 whose digits also sum to 24.at n=41A066270
- Numbers having exactly twelve anti-divisors.at n=34A066478
- Minimal positive solution a(n) of Diophantine equation b(n)^2 - b(n)*a(n) - G(n)*a(n)^2 = +1 or -1 with G(n) := A078358(n). The companion sequence is b(n)=A077057(n).at n=37A077058
- Minimal (positive) solution a(n) of Pell equation b(n)^2 - D(n)*a(n)^2 = +4 with D(n)= A077425(n). The companion sequence is a(n)=A077428(n).at n=37A078355