Properties of the Number 8297

Eight Thousand Two Hundred Ninety-Seven

Basics

Value: 8296 → 8297 → 8298

Parity: odd

Prime: Yes

Previous Prime: 8293

Next Prime: 8311

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 8297

Divisors: 1, 8297

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10000001101001

Octal: 20151

Duodecimal: 4975

Hexadecimal: 2069

Square: 68840209

Square Root: 91.08786966440702

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 36·k² - 810·k + 2753, listed in order of increasing parameter k >= 0. A50268

Number of subsets of {1..n} containing no products of two or more distinct elements. A326117

Primes of the form n² + 16. A243451

Numbers k such that (17^k + 1)/18 is a prime. A57183

a(n) = ∑_k=1..n T(n,k), array T as in A049790. A49791

Primes of the form 6k - 1 preceding the first-occurrence gaps in A334543. A334544

Numbers n which are prime and which when each digit is incremented by 2 with carries ignored yields another prime p with the same property. A88786

a(0)=1, a(1)=1, a(n) = 9·a(n/2) for even n >= 2, and a(n) = 8·a((n-1)/2) + a((n+1)/2) for odd n >= 3. A116526

a(n) = 36·n² - 810·n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44. A117081

a(n) = ∑_i=0..n digsum₅(i)³, where digsum₅(i) = A053824(i). A231670