16009
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 18304
- Proper Divisor Sum (Aliquot Sum)
- 2295
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13716
- Möbius Function
- 1
- Radical
- 16009
- 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
- 71
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 76 ones.at n=23A031844
- Numerators of continued fraction convergents to sqrt(113).at n=9A041204
- Numerators of continued fraction convergents to sqrt(452).at n=5A041860
- Number of permutations of length n which avoid the patterns 1324, 3421, 4123.at n=11A116832
- Constant term in the reduction of the n-th Fibonacci polynomial by x^3->x^2+1. See Comments.at n=17A192780
- Number of (w,x,y,z) with all terms in {1,...,n} and w^2>x^2+y^2+z^2.at n=19A212094
- n^3 + 4*n^2 - 5*n + 1.at n=24A241577
- Variation of Flavius Josephus's sieve: Start with the natural numbers; at the k-th sieving step, make k passes removing every k-th term of the sequence remaining after the previous sieving step; iterate.at n=7A247105
- Triangle read by rows, inverse Bell transform of the complementary Bell numbers (A000587); T(n,k) for n>=0 and 0<=k<=n.at n=40A264436
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 561", based on the 5-celled von Neumann neighborhood.at n=24A272937
- Sierpinski cuboctahedral numbers: a(n) = 16*4^n - 12*2^n + 9.at n=5A289999
- Triangle read by rows: T(n,k) is the number of embeddings on the sphere of 2-connected planar graphs with n nodes and k faces, n >= 3, k=2..2*n-4.at n=41A342060
- Number of partitions of the (n+4)-multiset {0,...,0,1,2,3,4} with n 0's into distinct multisets.at n=13A346824