Properties of the Number 8302

Eight Thousand Three Hundred Two

Basics

Value: 8301 → 8302 → 8303

Parity: even

Prime: No

Previous Prime: 8297

Next Prime: 8311

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 7 × 593

Divisors: 1, 2, 7, 14, 593, 1186, 4151, 8302

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001101110

Octal: 20156

Duodecimal: 497A

Hexadecimal: 206e

Square: 68923204

Square Root: 91.11531155629113

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 ways to write n as an ordered sum of 7 nonzero triangular numbers. A340952

a(n) = π(n) * ∑_{n <= q < 2n, q prime} q. A352754

a(n) = ∑_k=0..n binomial(2·n+2·k+1,n-k). A390267

a(n) = 343·n - 273. A157369

Number of compositions (ordered partitions) of n into parts with an even number of distinct prime divisors. A286225

Number of basis partitions of n+16 with Durfee square size 4. A53798

a(n) = 361·n - 1. A158308

a(n)=2·a(n-1)+(n+3)*a(n-2)-(n+3)*a(n-3), a(0)=0, a(1)=0, a(2)=1. A187830

a(n) = ∑_{k=0..floor(n/2)} binomial(n+k-1,k) * binomial(n+3·k-1,n-2·k). A387617

Molien series of 4-dimensional representation of u.g.g.r. #9. A13977