Properties of the Number 617

Six Hundred Seventeen

Basics

Value: 616 → 617 → 618

Parity: odd

Prime: Yes

Previous Prime: 613

Next Prime: 619

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 617

Divisors: 1, 617

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101001

Octal: 1151

Duodecimal: 435

Hexadecimal: 269

Square: 380689

Square Root: 24.839484696748443

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Lesser of twin primes. A1359

Primes of the form x² + xy + 2y², with·and y nonnegative. A106856

Pythagorean primes: primes of the form 4·k + 1. A2144

Twin primes. A1097

Prime-indexed primes: primes with prime subscripts. A6450

Number of compositions (ordered partitions) of n into distinct parts. A32020

Primes congruent to 1 or 2 modulo 4; or, primes of form x² + y²; or, -1 is a square mod p. A2313

List of twin primes {p, p+2}. A77800

Number of ordered triples (w,x,y) with all terms in {-n,...,0,...,n} and w² + x·y = 0. A211422

Primes of form 8n+1, that is, primes congruent to 1 mod 8. A7519