Properties of the Number 10314

Ten Thousand Three Hundred Fourteen

Basics

Value: 10313 → 10314 → 10315

Parity: even

Prime: No

Previous Prime: 10313

Next Prime: 10321

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 191

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 191, 382

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001001010

Octal: 24112

Duodecimal: 5B76

Hexadecimal: 284a

Square: 106378596

Square Root: 101.55786527886454

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 ways to split a strict integer partition of n into consecutive subsequences with strictly decreasing sums. A318684

Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic nonresidues mod p. A282043

Sum of the quadratic nonresidues of prime(n). A125615

Numbers that have 9 terms in their Zeckendorf representation. A179249

Integer part of Gauss's Arithmetic-Geometric Mean M(1,n⁴). A127760

a(n+1) -+ a(n) = prime, a(n+1)*a(n) = average of twin prime pairs, a(1)=1, a(2)=6. A154494

a(n) is the sum of quadratic nonresidues of A002145(n) (the n-th prime == 3 mod 4). A282036

Triangle interpolating the swinging factorial (A056040) restricted to odd indices with its binomial inverse. Triangle read by rows. For n >= 0, k >= 0. A163772

T(n,k) = Number of n X k 0..3 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..3 introduced in row major order. A240774

G.f. satisfies A(x) = 1 + x·A(x)² / (1 - x·A(x)²)³. A367240