Properties of the Number 10315

Ten Thousand Three Hundred Fifteen

Basics

Value: 10314 → 10315 → 10316

Parity: odd

Prime: No

Previous Prime: 10313

Next Prime: 10321

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 5 × 2063

Divisors: 1, 5, 2063, 10315

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001001011

Octal: 24113

Duodecimal: 5B77

Hexadecimal: 284b

Square: 106399225

Square Root: 101.56278846112882

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

List of codewords in binary lexicode with Hamming distance 5 written as decimal numbers. A75931

Basis for code in A075931. A75932

Smallest number m such that exactly n odd numbers can be seen as proper subsequences of m in decimal representation. A164766

Number of n element multisets of the 10th roots of unity with zero sum. A321416

The index of prime(n) in A337182. A338222

G.f. satisfies A(x) = (1 + x)² + x·A(x)⁴. A366698

5-digit terms in the continued fraction for π. A48960

a(n) = (4ⁿ - 2ⁿ)/2 + 3ⁿ. A94375

E.g.f. A(x) satisfies: A(x) = exp(1+x - exp(x)) * exp( Integral C(x) dx ) such that C(x) = exp( Integral A(x) dx ), where the constant of integration is zero. A268171

Number of functions f:{0,1,2,...,n} -> {0,1,2,...,n} that satisfy f(0)=0 and f(n)=0, with f nowhere concave upward. A68602