16233
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24768
- Proper Divisor Sum (Aliquot Sum)
- 8535
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9264
- Möbius Function
- -1
- Radical
- 16233
- Omega Function (Ω)
- 3
- 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
- 159
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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 whose decimal representation, read as a base-17 value and divided by k, yields an integer.at n=12A032565
- Numbers that are the product of 3 prime factors whose concatenation is a palindrome.at n=36A046452
- Numbers k such that 7*(10^k - 1)/9 + 2*10^floor(k/2) is a palindromic wing prime (a.k.a. near-repdigit palindromic prime).at n=10A077796
- Expansion of (1-x)/(1+2*x+x^3).at n=12A078061
- a(n) is the number of pairs (x,y) where x is plane partition of n+1 and y is a plane partition of n and x covers y.at n=13A090984
- Partial sums of hexagonal numbers with prime indices.at n=13A117962
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 0, -1), (1, -1, -1), (1, 1, 1)}.at n=8A149598
- First differences of A052980.at n=13A214260
- T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 nXk array.at n=37A219410
- Unmatched value maps: number of 2 X n binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 2 X n array.at n=7A219411
- If n <= 5 then a(n) = 1, if 6 <= n <= 8 then 2, if n = 9 or 10 then 3, if n = 11, 12 or 13 then n-7; otherwise a(n) = 2*a(n - 4) + a(n - 12).at n=52A239905
- Number of partitions p of n such that (number of numbers in p of form 3k+2) > (number of numbers in p of form 3k).at n=40A241742
- The Pnictogen sequence: a(n) = A018227(n)-3.at n=42A271995
- a(n) is the nearest integer to the area of a triangle with sides prime(n), prime(n+1), prime(n+2).at n=42A338267
- a(n) is the smallest number which can be represented as the sum of n distinct nonzero triangular numbers in exactly n ways, or 0 if no such number exists.at n=43A350288