12816
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 36270
- Proper Divisor Sum (Aliquot Sum)
- 23454
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4224
- Möbius Function
- 0
- Radical
- 534
- Omega Function (Ω)
- 7
- 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
- 63
- 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
- Golden rectangle numbers: F(n) * F(n+1), where F(n) = A000045(n) (Fibonacci numbers).at n=11A001654
- a(n) = a(n-1) + a(n-3) + a(n-4), a(0) = a(1) = a(2) = 1, a(3) = 2.at n=21A006498
- a(n) = n*(25*n + 1)/2.at n=32A022283
- [ exp(14/15)*n! ].at n=6A030908
- Products of successive Fibonacci numbers.at n=37A034722
- Fibonomial coefficients.at n=2A056568
- Successive maxima in sequence A060457.at n=47A061011
- a(n) = 3*n^3 + 2*n^2 + n.at n=16A067389
- a(n) = a(n-1) + a(n-3) + a(n-4), starting with a(0..3) = 1, 2, 2, 3.at n=20A070550
- Records in the Conway's alimentary function A070871.at n=47A070926
- a(n) = Sum_{i = 0..floor(n/2)} (-1)^(i + floor(n/2)) F(2*i + e), where F = A000045 (Fibonacci numbers) and e = (1-(-1)^n)/2.at n=22A074677
- Antidiagonal sums of triangle A035317.at n=20A080239
- a(n) = (Lucas(4*n+3) + 1)/5, or Fibonacci(2*n+1)*Fibonacci(2*n+2), or A081015(n)/5.at n=5A081016
- Numbers n such that n^2= (1/5)*(n+floor(sqrt(5)*n*floor(sqrt(5)*n))).at n=7A081097
- a(n) is the least k such that k*Mrs(n)*Mrs(n+1)*Mrs(n+2) + 1 is prime, where Mrs(n) is the n-th Mersenne prime.at n=16A082747
- Sum of maximal Motzkin path prefix-lengths of all 4k+3 integers in range ]2^n,2^(n+1)].at n=7A095110
- Triangular array read by rows, based on the Zeckendorf expansion of n and containing the golden rectangle sequence A001629.at n=65A122930
- Ordered sequence of Fibonomial coefficients.at n=34A144712
- a(n) = 512n + 16.at n=24A157475
- A product of consecutive doubled Fibonacci numbers.at n=10A166536