16104
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 44640
- Proper Divisor Sum (Aliquot Sum)
- 28536
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4800
- Möbius Function
- 0
- Radical
- 4026
- 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
- 71
- 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 asymmetric trees with n nodes (also called identity trees).at n=19A000220
- a(n) = a(n-1) + a(n-2) + F(n) - 1, a(0) = a(1) = 0, where F() = Fibonacci numbers A000045.at n=17A006478
- Number of ternary irreducible monic polynomials of degree n; dimensions of free Lie algebras.at n=11A027376
- a(n) = n^4 + n^3 + n^2 + n.at n=11A027445
- Sums of distinct powers of 11.at n=30A033047
- Product_{k>=1} 1/(1 - x^k)^a(k) = 1 + 3x.at n=10A038064
- Product_{k>=1}(1 + x^k)^a(k) = 1 + 3x.at n=10A038068
- Integers i > 1 for which there is no prime p such that i is a solution mod p of x^4 = 2.at n=27A065903
- Nearest integer to 1/(Sum_{k>=n} 1/k^4).at n=17A083559
- a(n) = floor(3^n / n).at n=10A092763
- a(0)=0; a(n) = 11*a(n-1) + 11.at n=4A105280
- Number of necklaces with n beads of 4 colors, no 2 adjacent beads the same color.at n=10A106366
- Triangle read by rows: T(n,k) (0<=k<=n) is the number of Delannoy paths of length n, having k (1,1)-steps on the line y=x (a Delannoy path of length n is a path from (0,0) to (n,n), consisting of steps (E=1,0), N=(0,1) and D(1,1)).at n=29A109979
- Algebraic degree of the onset of the logistic map n-bifurcation.at n=13A118454
- Number of 5-way intersections in the interior of a regular 6n-gon.at n=43A137939
- a(n) = (prime(n)^5 - prime(n))/10.at n=4A138428
- a(n) = (p(n)*p(n+1)-p(n+2))/2, where p(n) is the n-th odd prime.at n=39A152527
- Number of planar n X n X n binary triangular grids symmetric both under 120-degree rotation and reflection with no more than 1 one in any 2 X 2 X 2 subtriangle.at n=16A153898
- a(n) = (n^5 - n)/10, which is always an integer.at n=10A164938
- Dimensions of primitive Lie algebras connected with the Mantaci-Reutenauer algebra MR^(2).at n=10A185171