17137
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
- 17138
- 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
- 17136
- Möbius Function
- -1
- Radical
- 17137
- 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
- 27
- 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
- 1975
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Powers of fifth root of 15 rounded to nearest integer.at n=18A018157
- Powers of fifth root of 15 rounded up.at n=18A018158
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 72 ones.at n=27A031840
- Primes p such that q-p = 22, where q is the next prime after p.at n=30A061779
- Primes p such that x^8 = 2 has a solution mod p, but x^(8^2) = 2 has no solution mod p.at n=43A070184
- Smallest prime of the form prime(k) concatenated with prime(k+n).at n=25A089782
- Primes of the form n followed by the least k == 1 (mod n).at n=16A090920
- Primes p such that p's set of distinct digits is {1,3,7}.at n=15A108382
- a(0)=1, a(1)=1, a(n)=7*a(n/2) for n=2,4,6,..., a(n)=6*a((n-1)/2)+a((n+1)/2) for n=3,5,7,....at n=37A116522
- a(n) = 49n^2 - 28n - 20.at n=18A118058
- Primes in A128490.at n=21A128491
- Home primes whose homeliness is greater than 3.at n=29A133961
- Home primes whose homeliness is 4.at n=18A133962
- Mother primes of order 8.at n=30A136067
- Prime numbers p such that p +- ((p-1)/6) are primes.at n=21A137724
- Primes p1 such that p1^2+p2^3=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=17A138715
- Primes A080478(n)^2 + A080478(n+1)^2.at n=14A139361
- Primes congruent to 18 mod 53.at n=40A142548
- Primes congruent to 27 mod 59.at n=35A142754
- Primes congruent to 57 mod 61.at n=32A142855