2917
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2918
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2916
- Möbius Function
- -1
- Radical
- 2917
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 35
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 422
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=32A001133
- Primes of the form 2^q*3^r*5^s + 1.at n=44A002200
- Denominators of convergents to cube root of 5.at n=9A002357
- Primes of the form k^2 + 1.at n=12A002496
- Numbers that are the sum of 5 positive 6th powers.at n=18A003361
- From a nim-like game.at n=28A003412
- Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1.at n=22A005109
- Smallest prime in class n (sometimes written n+) according to the Erdős-Selfridge classification of primes.at n=5A005113
- Primes p such that (p+1)/2 is prime.at n=43A005383
- Primitive prime factors of the sequence k^2 + 1 (A002522) in the order that they are found.at n=37A005529
- Positions where A007600 increases.at n=22A007601
- Primes of the form 2*k^2 + 29.at n=34A007641
- Coordination sequence T2 for Zeolite Code ATS.at n=39A008039
- Coordination sequence T2 for Zeolite Code MEP.at n=32A008158
- Coordination sequence T1 for Zeolite Code VET.at n=33A009902
- Expansion of e.g.f. arcsinh(arcsinh(x) * exp(x)).at n=7A012590
- Largest prime factor of n^2 + 1.at n=53A014442
- Primes that remain prime through 2 iterations of the function f(x) = 3*x + 2.at n=32A023246
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 8.at n=31A023255
- Primes that remain prime through 3 iterations of function f(x) = 3x + 10.at n=21A023280