Properties of the Number 60271

Sixty Thousand Two Hundred Seventy-One

Basics

Value: 60270 → 60271 → 60272

Parity: odd

Prime: Yes

Previous Prime: 60259

Next Prime: 60289

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 60271

Divisors: 1, 60271

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110101101101111

Octal: 165557

Duodecimal: 2AA67

Hexadecimal: eb6f

Square: 3632593441

Square Root: 245.50152749015635

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 p such that there are positive integers m and n and a prime q such that p = m²+m-q = n²+n+q. A162652

Primes of the form ((p-1)/2)²+((p+1)/2), where p is prime. A163418

Primes of the form 4·k² - 10·k + 7 with k positive. A73337

Primes p such that 2p²-1, 3p²-2 and 4p²-3 are also prime. A213079

Septic artiads: primes p congruent to 1 mod 14 for which all solutions of the congruence x³ + x² - 2x - 1 == 0 (mod p) are 7th power residues. A270800

G.f. satisfies: A(x) = 1/(1 - x·A(x)²/(1 - x²*A(x)²/(1 - x³*A(x)²/(1 - x⁴*A(x)²/(1 - ...))))), a recursive continued fraction. A192729

a(n) = a(n-1) + a(round(2*(n-1)/3)) + a(round((n-1)/3)) with a(1)=a(2)=1. A33499

Start of the first run of exactly n consecutive primes, none of which are twin primes. A65044

Smallest prime such that n·k(n)²+n·k(n)+1 is a prime > (n-1)*k(n-1)²+(n-1)*k(n-1)+1 with k(n)>1 or 0 if n=4 as no prime possible. A104995

Primes of the form (2k)² + 3(2k + 1)². A147297