17299
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17300
- 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
- 17298
- Möbius Function
- -1
- Radical
- 17299
- 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
- 53
- 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
- 1989
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form m^2 + 3m + 9, where m can be positive or negative.at n=38A005471
- Numerators of continued fraction convergents to sqrt(346).at n=9A041654
- Denominators of continued fraction convergents to sqrt(378).at n=8A041717
- Discriminants of imaginary quadratic fields with class number 19 (negated).at n=32A046016
- Primes p whose period of reciprocal equals (p-1)/9.at n=11A056214
- Primes of the form 2*n^2+1.at n=16A090698
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 12.at n=14A095673
- Duplicate of A056214.at n=11A098676
- Numbers n such that the sum of the digits of sigma(n)^phi(n) is divisible by n.at n=15A109669
- Primes p such that p^2-p-1 and p^2-p+1 are twin primes.at n=35A120364
- Numbers k such that k!! - 2^k is prime.at n=22A124249
- Primes congruent to 12 mod 59.at n=34A142739
- Primes congruent to 36 mod 61.at n=31A142834
- a(n) = 1250*n^2 - 700*n + 99.at n=4A154359
- a(n) = 18*n^2 + 1.at n=30A157889
- a(n) = 961*n + 1.at n=17A158414
- Primes which are anagrams of cubes.at n=34A161854
- Prime numbers of the form n*b^n + 1, where b, n >= 2.at n=19A178541
- Primes p such that p plus or minus the sum of the fourth powers of its digits is a prime in both cases.at n=22A179595
- Sequence of primes separated by [sequence of prime] elements. 2, [find 2nd prime after 2 = ] 5, [find 3rd prime after 5 =] 13, [find 5th prime after 13 =] 61, ..., etc.at n=33A180302