Properties of the Number 84847

Eighty-Four Thousand Eight Hundred Forty-Seven

Basics

Value: 84846 → 84847 → 84848

Parity: odd

Prime: No

Previous Prime: 84827

Next Prime: 84857

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 7 × 17 × 23 × 31

Divisors: 1, 7, 17, 23, 31, 119, 161, 217, 391, 527

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101101101111

Octal: 245557

Duodecimal: 41127

Hexadecimal: 14b6f

Square: 7199013409

Square Root: 291.2850837238323

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

Number of length n inversion sequences avoiding the patterns 120 and 210. A279573

Least pentagonal number P(m) > P(n) such that P(m)+P(n) is again a pentagonal number, 0 if no such m exists. A136114

Numbers which are both lucky and pentagonal. A128511

Pentagonal numbers (A000326) that are the product of 2 palindromes greater than 1. A115745

Nonnegative values·of solutions (x, y) to the Diophantine equation x² + (x+84847)² = y². A201917

Numbers in A245385 where P, Q, R, and S are all distinct. A245386

a(n) = 2·3ⁿ+2^2n-1*(n-2). A84847