17337
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 23120
- Proper Divisor Sum (Aliquot Sum)
- 5783
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11556
- Möbius Function
- 1
- Radical
- 17337
- 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
- 128
- 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
- Number of permutations that are n-2 "block reversals" away from 12...n.at n=8A007973
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite CON = CIT-1 H2[B2Si54O112] starting with a T3 atom.at n=13A019099
- Sum of smallest parts (counted with multiplicity) of all partitions of n into odd parts.at n=44A092313
- Numbers for which the sum of the digits is the square root of the product of their digits.at n=37A117720
- a(n) = Sum_{k=0..n} k*binomial(n-k, 2*k).at n=17A136444
- [s(k)-s(j)]/7, where the pairs (k,j) are given by A205862 and A205863, and s(k) denotes the (k+1)-st Fibonacci number.at n=41A205865
- Semiprimes of the form p^2 + pq + q^2, where p, q are consecutive primes.at n=10A243904
- Expansion of Product_{k>=1} 1/(1-x^(k+5))^k.at n=38A263361
- Irregular triangle read by rows: row n gives numbers of maximal chains of lengths n-1, n, n+1, ... in the Tamari lattice T_n.at n=33A282698
- Triangle read by rows: T(n, k) = number of permutations that are k "block reversals" away from 12...n, for n >= 0, and (for n>0) 0 <= k <= n-1.at n=54A300003