17317
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17318
- 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
- 17316
- Möbius Function
- -1
- Radical
- 17317
- 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
- yes
- 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
- 1990
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 72 ones.at n=29A031840
- Smallest positive number containing n e's when spelled out in US English.at n=11A036448
- Primes of the form 666*n + 1.at n=9A037029
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = a(3) = 1.at n=42A050027
- Primes p for which the period of reciprocal 1/p is (p-1)/12.at n=22A056217
- Take A000040, omit commas: 23571113171923..., select 5-digit primes seen when scanning from left.at n=17A073038
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4, 6,6]; short d-string notation of pattern = [466].at n=27A078852
- Numbers n such that 8*10^n + 6*R_n - 3 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=21A103087
- Primes p such that p's set of distinct digits is {1,3,7}.at n=16A108382
- a(n) is the smallest number in English which contains n letter 'E's.at n=11A121065
- Primes p such that q = 4p^2 + 1 and r = 4q^2 + 1 are also prime.at n=25A122424
- Home primes whose homeliness is greater than 3.at n=30A133961
- Home primes whose homeliness is 4.at n=19A133962
- Primes of the form 2*3*5*7*k + 97.at n=42A141899
- Primes congruent to 30 mod 59.at n=33A142757
- Primes congruent to 54 mod 61.at n=33A142852
- Primes of form: sum of prime 5-tuples (A022007).at n=1A144940
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 110-111-101 pattern in any orientation.at n=13A146262
- Primes of the form XYX, where Y is a single digit.at n=22A154270
- a(n) = prime number > a(n-1) that contains the n-th prime as a substring.at n=39A177981