Properties of the Number 8305

Eight Thousand Three Hundred Five

Basics

Value: 8304 → 8305 → 8306

Parity: odd

Prime: No

Previous Prime: 8297

Next Prime: 8311

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 11 × 151

Divisors: 1, 5, 11, 55, 151, 755, 1661, 8305

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001110001

Octal: 20161

Duodecimal: 4981

Hexadecimal: 2071

Square: 68973025

Square Root: 91.13177272499422

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

Numbers m such that there are precisely 7 groups of order m. A249550

Numbers k such that ∑_j=1..k σ(j) is divisible by k, where σ(j) = sum of divisors of j (A000203). A56550

Sum of the second largest parts of the partitions of n into 9 squarefree parts. A326531

Numbers n for which there are exactly seven k such that n = k + (product of nonzero digits of k). A96928

Number of strict rectangular plane partitions of n. A323431

Number of Hamiltonian paths from NW to SW corners in a grid with 2n rows and 4 columns. A14524

Numbers of the form p·q*r where p,q,r are distinct odd palindromic primes (odd terms from A002385). A46405

Numbers n such that n and the n-th prime have the same digits. A74350

a(n) is the number of regions formed by n-secting the angles of an octagon. A335769

Floor[n(n-1)(n-2)(n-3)/14]. A11924