Properties of the Number 17137

Seventeen Thousand One Hundred Thirty-Seven

Basics

Value: 17136 → 17137 → 17138

Parity: odd

Prime: Yes

Previous Prime: 17123

Next Prime: 17159

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 17137

Divisors: 1, 17137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001011110001

Octal: 41361

Duodecimal: 9B01

Hexadecimal: 42f1

Square: 293676769

Square Root: 130.9083648969767

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Iterate x -> A080670(x) (replace·with the concatenation of the primes and exponents in its prime factorization) starting at n until reach 1 or a prime (which is then the value of a(n)); or a(n) = -1 if a prime is never reached. A195264

a(n) = floor(4ⁿ/((1+sqrt(5))/2)^2·n). A240523

Home primes whose homeliness is greater than 3. A133961

Home primes whose homeliness is 4. A133962

Primes p such that q-p = 22, where q is the next prime after p. A61779

Mother primes of order 8. A136067

Primes of the form 2·n² + 78·n + 37. A217501

Primes p such that x⁸ = 2 has a solution mod p, but x^8² = 2 has no solution mod p. A70184

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,.... A116522

Primes p such that p's set of distinct digits is {1,3,7}. A108382