Properties of the Number 8231

Eight Thousand Two Hundred Thirty-One

Basics

Value: 8230 → 8231 → 8232

Parity: odd

Prime: Yes

Previous Prime: 8221

Next Prime: 8233

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 8231

Divisors: 1, 8231

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000100111

Octal: 20047

Duodecimal: 491B

Hexadecimal: 2027

Square: 67749361

Square Root: 90.72485877641255

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

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <= 6 (i.e., when d = 2, 4 or 6) and forming pattern = [2, 4, 6]; short notation = [246] d-pattern. A78847

Primes with first digit 8. A45714

Number of integer partitions of n such that the maximum is twice the median. A361849

a(1) = 1; a(n) = max{ 5·a(k) + a(n-k) | 1 <= k <= n/2 } for n > 1. A130667

Primes at which the difference pattern X24Y (X and Y >= 6) occurs in A001223. A52163

Primes of the form q·p+2^p where p is prime, q=3. A155841

Sequence of 2 Pythagorean triangles, each with a leg and hypotenuse prime. The leg of the second triangle is the hypotenuse of the first. A48270

Primes q of the form q = 10p + 1, where p is also prime. A55781

Prime numbers p such that x² + x + p produces primes for x = 0..3 but not x = 4. A210362

T(n,k)=Number of nXk 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order. A233230