Properties of the Number 8315

Eight Thousand Three Hundred Fifteen

Basics

Value: 8314 → 8315 → 8316

Parity: odd

Prime: No

Previous Prime: 8311

Next Prime: 8317

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 1663

Divisors: 1, 5, 1663, 8315

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001111011

Octal: 20173

Duodecimal: 498B

Hexadecimal: 207b

Square: 69139225

Square Root: 91.18662182579197

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 integer partitions of n > 0 where the maximum part equals the length minus the number of distinct parts. A324518

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 0, 2 or 4 king-move neighboring 1s. A296725

Numbers that are the sum of five third powers in exactly eight ways. A345184

Numbers which are the sum of three cubes of distinct primes. A138854

a(n) = ∑_i=0..n digsum₆(i)³, where digsum₆(i) = A053827(i). A231674

Numbers which are the sum of 3 cubes of distinct odd primes. A138853

Number of (w,x,y) with all terms in {0,...,n} and |w-x| + |x-y| > w+x+y. A213482

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 421", based on the 5-celled von Neumann neighborhood. A288066

Molien series for group G_1,2⁸ of order 1536. A51462

Numbers k such that 60·R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A56658