Properties of the Number 10580

Ten Thousand Five Hundred Eighty

Basics

Value: 10579 → 10580 → 10581

Parity: even

Prime: No

Previous Prime: 10567

Next Prime: 10589

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 × 23 ²

Divisors: 1, 2, 4, 5, 10, 20, 23, 46, 92, 115

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101010100

Octal: 24524

Duodecimal: 6158

Hexadecimal: 2954

Square: 111936400

Square Root: 102.85912696499032

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

a(n) = 5·n². A33429

a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3). A24312

a(n) = 20·n². A195322

Sum of all parts minus the total numbers of parts of all partitions of n. A196087

G.f.: exp( ∑_n>=1 binomial(6·n-1, 3·n) * xⁿ/n ). A213403

G.f. A(x) satisfies: 1 = ∑_n>=0 xⁿ*A(-x)^A001650(n+1), where A001650 is defined by "n appears n times (n odd).". A192455

Number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = n + 4. A210376

Nonnegative values·of solutions (x, y) to the Diophantine equation x² + (x + 529)² = y². A309998

Numbers m such that m²+1 is prime with (m-1)²+1 and (m+1)²+1 semiprimes. A321795

a(n) = floor( sqrt(2) * (3/2)ⁿ ). A33320