17117
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17118
- 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
- 17116
- Möbius Function
- -1
- Radical
- 17117
- 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
- 79
- 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
- 1973
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that contain digits 1 and 7 only.at n=14A020455
- Primes that remain prime through 3 iterations of function f(x) = 9x + 8.at n=40A023298
- Numerators of continued fraction convergents to sqrt(877).at n=9A042694
- Primes p from A031924 such that A052180(primepi(p)) = 17.at n=21A052234
- Numbers k such that 62^k - 61^k is prime.at n=5A062628
- Smallest prime > 2n+1 beginning and ending with 2n+1, or 0 if no such prime exists.at n=8A070278
- Primes of the form x^2 + (x+3)^2.at n=21A076727
- Primes having only {1, 4, 7} as digits.at n=38A079651
- Members of A083989 whose 10's complement is also a member of A083989.at n=22A083991
- Primes in which the digit string can be partitioned into three parts such that third (least significant) part is the product of the first two.at n=12A088294
- Primes in which the frequency of every digit is also prime.at n=12A113615
- Numerators of the limit of coefficients of q in { [x^n] W(x,q) } when read backward from [q^(n*(n-1)/2)] to [q^(n*(n-1)/2 - (n-1))], where W satisfies: W(x,q) = exp( q*x*W(q*x,q) ).at n=25A126341
- Primes q such that p = (r+q+s-1)/2 is a balanced prime, where r, q, s are consecutive primes.at n=7A129190
- Right truncatable primes in base 9 (written in decimal form).at n=41A129693
- Numbers n with following property: suppose n^6 = d1 d2 d3 ...dk in decimal; then d1! + d2! + ... + dk! is a square.at n=10A130688
- Concatenation of n and a list of the divisors of n.at n=16A137464
- Primes p1 such that p1^3+p2^2=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=13A138735
- Primes congruent to 9 mod 47.at n=36A142360
- Primes congruent to 7 mod 59.at n=30A142734
- Primes congruent to 37 mod 61.at n=31A142835