16776
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 45630
- Proper Divisor Sum (Aliquot Sum)
- 28854
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5568
- Möbius Function
- 0
- Radical
- 1398
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 66
- 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
- Concatenations C1 and C2 and C3 and C4 are all prime (see the comment lines).at n=0A034820
- McKay-Thompson series of class 36C for Monster.at n=44A058646
- (Sum of digits of n)^5 - (sum of digits of n^5).at n=16A069979
- (Sum of digits of n)^5 - (sum of digits of n^5).at n=34A069979
- a(n) = 7^n-2^n+1.at n=5A155598
- A triangle of polynomial coefficients:p(x,n)=Sum[(k + 1)^n*Binomial[x, k], {k, 0, Infinity}]/2^(x - n).at n=47A176667
- Triangle read by rows: number of permutation trees of power n and height <= n - k.at n=32A179456
- Number of nonempty subsets of {1, 2, ..., n} with <=5 pairwise coprime elements.at n=30A187266
- Number of 1:2:sqrt(5) proportioned triangles on an (n+1) X (n+1) grid.at n=13A190099
- Minimal sum s of n distinct squares such that s is divisible by n.at n=35A215574
- Number of partitions of n such that (number of distinct parts) = number of 1s.at n=52A239960
- Number of length 1+3 0..n arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth.at n=22A248538
- y-values in the solutions to x^2 + x = 5*y^2 + y.at n=4A257940
- Product of n-th prime and the sum of the divisors of n.at n=50A272211
- a(1) = 1; a(n) = Sum_{d|n, d < n} phi(n/d) * a(d)^2.at n=41A332778
- Table read by antidiagonals: T(h,n) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a box of size 2h X 2h X 2h where the walk starts at the center of the box.at n=39A337023
- Integers k for which there exist three consecutive Fibonacci numbers a, b, and c such that a*b*c = k*(a+b+c).at n=8A343010
- Triangle read by rows: T(n, k) is the number of partitions of a 2-colored set of n objects into at most k parts where 0 <= k <= n, and each part is one of 2 kinds.at n=53A383352
- a(n) is the number of isosceles trapezoids in a triangular grid of side length n.at n=16A389363