Properties of the Number 5782

Five Thousand Seven Hundred Eighty-Two

Basics

Value: 5781 → 5782 → 5783

Parity: even

Prime: No

Previous Prime: 5779

Next Prime: 5783

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 7 ² × 59

Divisors: 1, 2, 7, 14, 49, 59, 98, 118, 413, 826

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011010010110

Octal: 13226

Duodecimal: 341A

Hexadecimal: 1696

Square: 33431524

Square Root: 76.03946343840151

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(0) = 1, a(n) = 5·n² + 2 for n>0. A10001

Positive integers n such that n¹⁹ + 1 is semiprime (A001358). A104657

The number of different classes of 2-dimensional convex lattice polytopes having volume n/2 up to unimodular equivalence. A187015

T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero. A298133

a(0) = 1, a(n) = 20·n² + 2 for n>0. A10010

Expansion of -2·x⁴ *(3·x¹³ +2·x¹² +x¹¹ -6·x¹⁰ -10·x⁹ -6·x⁸ +x⁷ +7·x⁶ +5·x⁵ -x⁴ -8·x³ -11·x² -8·x -5) / ((x -1)⁴ *(x +1)² *(x² +1)² *(x² +x +1)²). A187397

Number of 2 X 2 matrices having all elements in {0,1,...,n} and determinant in the closed interval [-n,n]. A211031

Sum of numbers in the n-th antidiagonal of the reciprocity array of 3. A259583

Number of cubic equations ax³ + bx² + cx + d = 0 with integer coefficients |a|,|b|,|c|,|d| <= n, a <> 0, having three real roots, of which at least two are equal. A155192

G.f. A(x) satisfies: A(x) = ∑_n>=0 (1+x)^n*(n+1/2) * xⁿ / A(x)ⁿ. A318644