Properties of the Number 78301

Seventy-Eight Thousand Three Hundred One

Basics

Value: 78300 → 78301 → 78302

Parity: odd

Prime: Yes

Previous Prime: 78283

Next Prime: 78307

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 78301

Divisors: 1, 78301

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000111011101

Octal: 230735

Duodecimal: 39391

Hexadecimal: 131dd

Square: 6131046601

Square Root: 279.8231584411841

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

Balanced primes of order eleven. A96703

Primes p such that A001175(p) = (p-1)/9. A308794

a(n) = n⁴ - n³ - n² - n - 1. A125082

Primes p such that x⁹ = 2 has a solution mod p, but x^9² = 2 has no solution mod p. A70185

Primes p such that x²⁷ = 2 has no solution mod p, but x⁹ = 2 has a solution mod p. A59354

Smallest of four consecutive primes whose sum is a triangular number. A226154

Primes p such that p + 10ⁱ are prime for i from 1 to 5. A387703

a(1) = 2, a(2) = 3, a(n+1) = least prime of the form k*(a(n-1)) - a(n) not included earlier. A114741

Primes p such that (p¹⁰²⁴ + 1)/2 is prime. A341272

Square array A(n, k) = 2·A246278(n, k) - σ(A246278(n, k)), read by falling antidiagonals. Deficiency applied to the prime shift array. A378979