16772
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 33600
- Proper Divisor Sum (Aliquot Sum)
- 16828
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 7176
- Möbius Function
- 0
- Radical
- 8386
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 66
- 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
- Base-8 palindromes that start with 4.at n=24A043024
- Number of mobiles (circular rooted trees) with n nodes and 7 leaves.at n=6A055345
- Numbers n such that 101101 * 10^n + 1 is prime.at n=18A106745
- Partial sums of A028388 good primes (version 2).at n=43A172166
- Number of double rises in all left factors of Dyck paths of length n (a double rise consists of two consecutive (1,1)-steps).at n=14A191524
- a(n) = Sum_{k=1..n} 2^(n mod k).at n=27A198383
- a(n) = 7^n - 7*n.at n=5A198397
- Number of (w,x,y,z) with all terms in {1,...,n} and 2w+2x=3y+3z.at n=43A212567
- Number n such that the sum of its proper evil divisors (A001969) equals n.at n=25A230587
- a(n) is the coefficient of x^n*y^n in Product_{n>=1} 1/(1 - x^(2*n-1) - y^(2*n-1)).at n=8A322198
- Numbers that are the sum of eight fourth powers in eight or more ways.at n=9A345583
- Numbers that are the sum of eight fourth powers in exactly eight ways.at n=7A345840