Properties of the Number 5785

Five Thousand Seven Hundred Eighty-Five

Basics

Value: 5784 → 5785 → 5786

Parity: odd

Prime: No

Previous Prime: 5783

Next Prime: 5791

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 13 × 89

Divisors: 1, 5, 13, 65, 89, 445, 1157, 5785

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010011001

Octal: 13231

Duodecimal: 3421

Hexadecimal: 1699

Square: 33466225

Square Root: 76.05918747922567

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

Numbers m that are the hypotenuse of exactly 13 distinct integer-sided right triangles, i.e., m² can be written as a sum of two squares in 13 ways. A97102

Number of patterns of length n with all distinct run-lengths. A351292

Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities). A45940

T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 nXk array. A221446

Number of ordered pairs of integers (x,y) with x²+y² < n². A51132

Minimum number of points of the square lattice falling strictly inside a circle of radius n. A291259

Numbers k such that k and k+1 are both lazy-Pell-Niven numbers (A352342). A352343

Form a triangle with the numbers [0..n] on the base, where each number is the sum of the two below; a(n) is the number of different possible values for the apex. A66411

20k²-20k-5 interleaved with 20k²+5 for k=>0. A216876

Least k > 0 such that gcd(kⁿ+3, (k+1)ⁿ+3) > 1, or 0 if there is no such k. A255853