Properties of the Number 10793

Ten Thousand Seven Hundred Ninety-Three

Basics

Value: 10792 → 10793 → 10794

Parity: odd

Prime: No

Previous Prime: 10789

Next Prime: 10799

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 43 × 251

Divisors: 1, 43, 251, 10793

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000101001

Octal: 25051

Duodecimal: 62B5

Hexadecimal: 2a29

Square: 116488849

Square Root: 103.88936422945325

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 - x) * ∏_k>=0 1/(1 - x^{3^k})^{3^(k+1}). A321344

a(n) = ∑_k=0..n binomial(n+4·k,n-k) * Catalan(k). A360103

Number of partitions of n that have odd sized Ferrers matrix. A238944

Denominators of continued fraction convergents to sqrt(537). A42027

a(n) = floor(47*(n-3/2)^3/2). A50256

a(n) = n² + (n + 1)³ + (n + 2)⁴. A61222

Numbers k such that τ(k-1) = (τ(k))² = τ(k+1), where τ(k) = A000005(k) (number of divisors of k). A190266

a(n) minimizes (over the integers) the absolute difference between π and x(n) + 1/a(n), where x(n) is π truncated at the n-th decimal digit. A286742

a(n) is the number of subsets of {1,2,...,n} with at least two elements and the difference between successive elements at least 6. A335184

Number of rooted polyhedral graphs with n edges. A287