Properties of the Number 15313

Fifteen Thousand Three Hundred Thirteen

Basics

Value: 15312 → 15313 → 15314

Parity: odd

Prime: Yes

Previous Prime: 15307

Next Prime: 15319

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 15313

Divisors: 1, 15313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101111010001

Octal: 35721

Duodecimal: 8A41

Hexadecimal: 3bd1

Square: 234487969

Square Root: 123.7457069962429

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 j² + (j+1)². A27862

Denominator of (1+σ(s)) / ((s+1)/2), where s is the square of n prime-shifted once (s = A003961(n)² = A003961(n²)). A337339

Primes of the form 9x² + 6xy + 1849y². A244019

Primes p for which exactly four bases b with 1 < b < p exist such that p is a base b Wieferich prime. A255207

Primes having only {1, 3, 5} as digits. A260224

Non-palindromic balanced primes. A256076

Primes of the form x² + 1848·y². A139668

Primes p such that p - 6², p - 6, p + 6 and p + 6² are also primes. A141279

Primes whose base-8 representation is a perfect square in base 10. A267490

Primes p such that p+2⁴, p+2⁶ and p+2⁸ are all primes. A269257