Properties of the Number 13457

Thirteen Thousand Four Hundred Fifty-Seven

Basics

Value: 13456 → 13457 → 13458

Parity: odd

Prime: Yes

Previous Prime: 13451

Next Prime: 13463

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 13457

Divisors: 1, 13457

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010010010001

Octal: 32221

Duodecimal: 7955

Hexadecimal: 3491

Square: 181090849

Square Root: 116.00431026474836

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 k² + 1. A2496

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 3. A146348

Primes of the form 4·k² + 1. A121326

Odd powers of primes of the form q = x² + 1 (A002496). A54755

Numbers k such that 7^k + 12 is prime. A152213

Shifts one place left under 8th-order binomial transform. A75507

Second member of a sexy prime quadruple: value of p+6 such that p, p+6, p+12 and p+18 are all prime. A46122

Primes of the form m·rad(m)+1, where rad = A007947 (squarefree kernel). A78324

Totient(n) and cototient(n) are squares. A54754

Smallest prime divisor of 4·n²+1. A256970