9168
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
- 3
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 23808
- Proper Divisor Sum (Aliquot Sum)
- 14640
- 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
- 3040
- Möbius Function
- 0
- Radical
- 1146
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 109
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite TON = Theta-1 Nan[AlnSi24-nO48] starting with a T2 atom.at n=12A019244
- Expansion of Product_{m>=1} (1 + m*q^m)^3.at n=10A022631
- a(n) = T(n,0) + T(n,1) + ... + T(n,n), T given by A027170.at n=10A027178
- Expansion of 1/(1 - 2*x^3 - x^4).at n=31A052922
- Multiples of 24 whose digits also sum to 24.at n=40A066270
- Number of hands that peg n points in the "show" phase of 6-card cribbage.at n=15A066354
- Nearest integer to 1/(Sum_{k>=n} 1/k^4).at n=14A083559
- Numbers k such that 6^k - 5^(k-1) is prime.at n=30A093713
- Triangle read by rows: T(n,k) is the number of ternary sequences of length n containing k subsequences 000 (consecutively; n,k>=0).at n=49A119825
- Where records occur in continued fraction expansion of 1/log(2) (cf. A016730).at n=14A120755
- Multiples of 16 containing a 16 in their decimal representation.at n=38A121036
- a(n) = 4*n^2 + 79*n + 390.at n=37A157434
- a(n) = 16*n^2 - 2*n.at n=23A158058
- The MC polynomials.at n=21A163972
- Numbers n such that sum of the cubes of the digits of n^3 is a perfect cube.at n=44A164882
- Numbers k such that k^3 +-5 are primes.at n=40A176684
- Number of (n+1)X8 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors.at n=8A205071
- Values of the difference d for 5 primes in arithmetic progression with the minimal start sequence {5 + j*d}, j = 0 to 4.at n=40A206039
- Number of nX4 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 0 1 vertically.at n=4A207804
- T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 0 1 vertically.at n=32A207808