17293
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17294
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 17292
- Möbius Function
- -1
- Radical
- 17293
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1988
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of form k^2 + k + 1.at n=38A002383
- Primes of form (p^x - 1)/(p^y - 1), p prime.at n=19A003424
- Prime numbers that are the sum of the divisors of some n.at n=14A023195
- Primes that remain prime through 3 iterations of function f(x) = 10x + 3.at n=38A023300
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 66 ones.at n=31A031834
- Primes with multiplicative persistence value 5.at n=36A046505
- Primes arising in A048969.at n=34A048977
- Primes arising in A048969.at n=35A048977
- Primes of the form p^2 + p + 1 when p is prime.at n=9A053183
- Primes p for which the period of reciprocal 1/p is (p-1)/12.at n=21A056217
- a(n) = p^2 + p + 1 where p runs through the primes.at n=31A060800
- Terms of A000203 that are prime.at n=16A062700
- Primes of the form 4*k^2 - 10*k + 7 with k positive.at n=22A073337
- Primes that can be written as 1+p+p^k, p prime and k > 1.at n=18A084444
- Primes of the form 1 + n + n^2 + n^3 + ... + n^k, n > 1, k > 1.at n=40A085104
- Primes which are the sum of three 5th powers.at n=5A085319
- Primes of the form 1+(1+p)*p^e, p prime and e>0.at n=21A087196
- Duplicate of A023195.at n=14A087578
- Primes p giving prime quadruples (30p+11, 30p+13, 30p+17, 30p+19).at n=10A087771
- Numbers k such that 10^k + 4*R_k + 5 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=17A102935