16357
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 17856
- Proper Divisor Sum (Aliquot Sum)
- 1499
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14860
- Möbius Function
- 1
- Radical
- 16357
- 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
- 66
- Smith Number
- yes
- 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
- G.f.: Product_{k>=1} (1 + x^(2*k - 1)) / (1 - x^(2*k)).at n=48A006950
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = a(3) = 1.at n=37A050027
- Number of positive words of length n in the monoid Br_5 of positive braids on 6 strands.at n=8A097552
- a(n) = 4*A061547(n+1) - 3*A166753(n).at n=12A166754
- The number of order-preserving partial isometries (of an n-chain) of fix zero (fix of alpha = 0). Equivalently, the number of order-preserving partial derangement isometries (of an n-chain).at n=13A183155
- Number of nondecreasing arrangements of n+3 numbers in 0..6 with each number being the sum mod 7 of three others.at n=8A183901
- Number of parts in all partitions of n in which no part occurs more than twice.at n=35A185350
- Monotonic ordering of nonnegative differences 4^i-3^j, for 40>=i>=0, j>=0.at n=36A192148
- a(n) = 2^n - 27.at n=14A220087
- O.g.f.: Sum_{n>=0} n^n*(n+4)^n * exp(-n*(n+4)*x) * x^n / n!.at n=4A222078
- Divisor sum of the arithmetic function A085945(n).at n=13A224840
- Bisection of A006950 (the even part).at n=24A233758
- Number of binary digits in the high-water marks of the terms of the continued fraction of the base-2 Champernowne constant.at n=13A244331
- The real part of b(n) where b(n) = (n + b(n-1)) * (1 + i) with b(-1)=0; i = sqrt(-1).at n=27A309878
- Number of separable partitions of n in which the number of distinct (repeatable) parts is 5.at n=41A325649
- Number of compositions of n that are not strictly increasing.at n=15A337698
- The difference between number of even and number of odd Grassmannian permutations of size n.at n=27A356185