Properties of the Number 8247

Eight Thousand Two Hundred Forty-Seven

Basics

Value: 8246 → 8247 → 8248

Parity: odd

Prime: No

Previous Prime: 8243

Next Prime: 8263

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 2749

Divisors: 1, 3, 2749, 8247

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10000000110111

Octal: 20067

Duodecimal: 4933

Hexadecimal: 2037

Square: 68013009

Square Root: 90.8129946648606

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

Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year. A14088

Partial sums of A097988 (d₃(n)²). A330570

a(n) = ∑_k=1..n k*φ(k). A11755

Expansion of ∑_n>=0 (qⁿ / ∏_k=1..n+4 (1 - q^k)). A35300

Maximal number of 132 patterns in a permutation of 1,2,...,n. A61061

Floor(ζ(3)ⁿ). A125890

Numbers that are the sum of eight fifth powers in two or more ways. A345610

Numbers that are the sum of eight fifth powers in exactly two ways. A346327

Expansion of χ(x) / φ(x²) in powers of·where φ(), χ() are Ramanujan θ functions. A85261

G.f. satisfies A(x) = (1 + x·A(x)) * (1 + 2·x*A(x)²). A216314