16886
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 25332
- Proper Divisor Sum (Aliquot Sum)
- 8446
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8442
- Möbius Function
- 1
- Radical
- 16886
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 110
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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 distributive lattices; also number of paths with n turns when light is reflected from 4 glass plates.at n=9A006357
- 4-wave sequence.at n=30A038197
- Top line of 4-wave sequence A038197, also bisection of A006357.at n=5A038225
- McKay-Thompson series of class 18e for the Monster group.at n=44A058543
- Numbers n such that prime(n) + prime(n+1) is a cube.at n=4A071220
- Expansion of (1-x)^(-1)/(1-x-x^2+2*x^3).at n=40A077867
- McKay-Thompson series of class 36b for the Monster group.at n=44A112173
- First row sum of the 4 X 4 matrix M^n, where M={{10, 9, 7, 4}, {9, 8, 6, 3}, {7, 6, 4, 2}, {4, 3, 2, 1}}.at n=3A122186
- Total number of parts that are neither the smallest part nor the largest part in all partitions of n.at n=29A182977
- The number of order-decreasing partial isometries (of an n-chain).at n=13A184052
- Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p_1, p_2, p_3, p_4} = {-1,0,1,2}, n=3*r+p_i, and define a(-1)=1. Then a(n)=a(3*r+p_i) gives the quantity of H_(9,1,0) tiles in a subdivided H_(9,i,r) tile after linear scaling by the factor Q^r, where Q=sqrt(x^3-2*x) with x=2*cos(Pi/9).at n=35A187503
- Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p_1, p_2, p_3, p_4} = {-1,0,1,2}, n=3*r+p_i, and define a(-1)=0. Then a(n)=a(3*r+p_i) gives the quantity of H_(9,4,0) tiles in a subdivided H_(9,i,r) tile after linear scaling by the factor Q^r, where Q=sqrt(x^3-2*x) with x=2*cos(Pi/9).at n=32A187506
- Number of set partitions of [n] having exactly eight pairs (m,m+1) such that m is in some block b and m+1 is in block b+1.at n=4A271795
- Numbers k such that k^4096 + (k+1)^4096 is prime.at n=7A274236
- Expansion of x - 1/(x - 1/(x - 1/(x - 1/(x + 1)))).at n=9A373568