Properties of the Number 34057

Thirty-Four Thousand Fifty-Seven

Basics

Value: 34056 → 34057 → 34058

Parity: odd

Prime: Yes

Previous Prime: 34039

Next Prime: 34061

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 34057

Divisors: 1, 34057

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010100001001

Octal: 102411

Duodecimal: 17861

Hexadecimal: 8509

Square: 1159879249

Square Root: 184.5453873712372

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

Primes of the form 2·n²+6·n+1. A176549

Primes of form n² + 1296. A256834

Antidiagonal sums of square array A082025. A82190

Row sums of partition triangle A026820. A58397

Expansion of 1/(x¹⁰*p(x + 1/x)), where p(x) = 1 - x³ - x⁵ - x⁷ + x¹⁰ is a Salem polynomial. A143471

Primes of the form (n²+1)/26. A208292

Numerators of continued fraction convergents to sqrt(568). A42088

Primes of the form 47·n² - 1701·n + 10181. A128878

Primes p such that both π(p) and the concatenation of π(p) and p are prime, where π is the prime counting function. A155032

a(n+1) is the smallest divisor of a(n)²+1 that does not yet appear in the sequence, with a(1) = 1. A166134