17159
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17160
- 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
- 17158
- Möbius Function
- -1
- Radical
- 17159
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1976
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of the function f(x) = 2*x + 1.at n=15A023272
- Primes that remain prime through 3 iterations of function f(x) = 3x + 2.at n=15A023277
- Primes of the form k^2 - 2.at n=32A028871
- Numbers whose base-7 representation has exactly 6 runs.at n=1A043621
- a(n) = prime(n)^2 - 2.at n=31A049001
- Primes of form p^2 - 2, where p is prime.at n=16A049002
- Primes p of form q^k-2 where q is also a prime and k > 1.at n=22A053705
- Largest prime below prime(n)^2 (A001248).at n=31A054270
- Primes starting a Cunningham chain of the first kind of length 4.at n=10A059763
- Numbers n such that n, 2n+1, 3n+2, 4n+3 are primes.at n=8A067257
- Frobenius number of the numerical semigroup generated by consecutive squares.at n=9A069756
- Let p run through the primes; write p in base 10 and then interpret it in base 128 getting a number q; if q is prime then adjoin q to the sequence.at n=9A090718
- Smallest prime of the form n(n-1)(n-2)...(n-k)-1, or 0 if no such prime exists.at n=10A092925
- Primes that are 2 less than a perfect power m^k, k >= 2.at n=35A094786
- Upper prime of a difference of 22 between consecutive primes.at n=30A098976
- Primes of the form m^k-k, with m and k > 1.at n=43A099228
- Primes of the form 4*k-1 such that 8*k-1 and 16*k-1 are also primes.at n=27A101791
- Primes of the form 4*k-1 such that 8*k-1, 16*k-1 and 32*k-1 are also primes.at n=5A101795
- Smallest primes starting a complete three iterations Cunningham chain of the first or second kind.at n=15A110025
- Positive integers i for which A112049(i) == 8.at n=17A112068