Properties of the Number 8312

Eight Thousand Three Hundred Twelve

Basics

Value: 8311 → 8312 → 8313

Parity: even

Prime: No

Previous Prime: 8311

Next Prime: 8317

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 1039

Divisors: 1, 2, 4, 8, 1039, 2078, 4156, 8312

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001111000

Octal: 20170

Duodecimal: 4988

Hexadecimal: 2078

Square: 69089344

Square Root: 91.17017056033185

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

Expansion of 1/(1 - x⁵ - x⁶ - x⁷ - x⁸ + x¹³). A173924

Subdiagonal partitions: number of partitions (p1, p2, p3, ...) of n with π <= i. A238875

Number of integer partitions of n where 2*(number of distinct parts) >= (number of parts). A361394

T(n,k)=Number of nXk 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors. A232023

Triangles in open triangular matchstick arrangement (triangle minus one side) of side n. A45947

T(n,k)=Number of nXk zero-sum -1..1 arrays with rows and columns lexicographically nondecreasing. A202033

Numerator of Hermite(n, 1/3). A158811

Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 5. A209990

a(n) is the number of vertices formed by n-secting the angles of an octagon. A335770

a(n) = n*(4·n² + n - 1)/2. A125200