16227
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24080
- Proper Divisor Sum (Aliquot Sum)
- 7853
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10800
- Möbius Function
- 0
- Radical
- 1803
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 115
- 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
- no
- Odd
- yes
Appears in sequences
- Number of pebbling configurations with n pebbles.at n=13A007902
- Numbers whose set of base-11 digits is {1,2}.at n=35A032931
- Number of n X 6 binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.at n=1A069297
- Number of 3 X n binary arrays with a path of adjacent 1's from upper left corner to anywhere in right hand column.at n=4A069307
- Indices of triple-safe primes: p=prime(n) is double-safe: q=(p-1)/2, r=(q-1)/2 and s=(r-1)/2 are all prime (and q is double-safe).at n=18A075134
- The hyper-Wiener index of the ortho-polyphenyl chain with n hexagons (see the Dou et al. and the Deng references).at n=5A216109
- Number of partitions of n where the difference between consecutive parts is at most 3.at n=42A238863
- Expansion of 1/(1 - x - Sum_{k>=1} x^prime(k)).at n=16A280917
- a(n) = (1/3)*A289795(n).at n=5A289796
- Numbers k such that A307437(k) is divisible by 3.at n=27A342037
- G.f. A(x) satisfies A(x) = 1 / (1 - x*A(x) / (1+x))^3.at n=6A371495