Properties of the Number 84457

Eighty-Four Thousand Four Hundred Fifty-Seven

Basics

Value: 84456 → 84457 → 84458

Parity: odd

Prime: Yes

Previous Prime: 84449

Next Prime: 84463

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 84457

Divisors: 1, 84457

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100111101001

Octal: 244751

Duodecimal: 40A61

Hexadecimal: 149e9

Square: 7132984849

Square Root: 290.61486541469276

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

A(n, k) is the k-th number b > 1 such that b^prime(n+i-1) == 1 (mod prime(n+i)²) for each i = 0..4, with k running over the positive integers; square array, read by antidiagonals, downwards. A319062

Numbers that are the sum of seven fifth powers in three or more ways. A345606

Numbers that are the sum of seven fifth powers in exactly three ways. A346280

Numbers b > 1 such that the smallest five primes, i.e., 2, 3, 5, 7 and 11 are base-b Wieferich primes. A339534

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

Numerators of partial sums of Catalan numbers scaled by powers of 1/20. A120786

a(n) is the smallest number that is the sum of n positive 5th powers in three ways. A343083

Primes p such that x⁵⁴ = 2 has no solution mod p, but x¹⁸ = 2 has a solution mod p. A59666

Number of binary words of length n avoiding the subword given by the binary expansion of n. A234005