Properties of the Number 5781

Five Thousand Seven Hundred Eighty-One

Basics

Value: 5780 → 5781 → 5782

Parity: odd

Prime: No

Previous Prime: 5779

Next Prime: 5783

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 41 × 47

Divisors: 1, 3, 41, 47, 123, 141, 1927, 5781

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010010101

Octal: 13225

Duodecimal: 3419

Hexadecimal: 1695

Square: 33419961

Square Root: 76.03288762108144

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

9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7·n-5)/2. A1106

Centered tetrahedral numbers. A5894

a(n) = 3·n*(n+6). A140681

T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A281715

Molien series for invariants of finite Coxeter group D₁₂ (bisected). A266775

Table M(n,b) (columns: n >= 1, rows: b >= 0) gives the number of site swap juggling patterns with exact period n, using exactly b balls, where cyclic shifts are not counted as distinct. A65177

Array read by antidiagonals: T(m,n) = number of independent vertex sets in the complete prism graph K_m X C_n. A287376

Table T(n,k) = ∑_i=0..2n (C(2n,i) mod 2)*F(i+k) = ∑_i=0..n (C(n,i) mod 2)*F(2i+k). A50609

Number of site swap patterns with 2 balls and exact period n. A65178

a(n) = 5·n² + 1. A212656