Properties of the Number 5780

Five Thousand Seven Hundred Eighty

Basics

Value: 5779 → 5780 → 5781

Parity: even

Prime: No

Previous Prime: 5779

Next Prime: 5783

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 × 17 ²

Divisors: 1, 2, 4, 5, 10, 17, 20, 34, 68, 85

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010010100

Octal: 13224

Duodecimal: 3418

Hexadecimal: 1694

Square: 33408400

Square Root: 76.02631123499285

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

Numbers whose unsorted prime signature is not unimodal. A332282

a(n) = a(n-1) + a(n-2) - 2, a(0) = 4, a(1) = 3. A211

Numbers n such that Bernoulli number B_n has denominator 330. A272183

a(n) = Fibonacci(2·n+1) + Fibonacci(2·n-1) + 2. A92387

Number T(n,k) of entries in the k-th cycles of all permutations of {1,2,..,n}; each cycle is written with the smallest element first and cycles are arranged in increasing order of their first elements. A185105

T(n,k)=Number of length n 1..(k+1) arrays with every leading partial sum divisible by 2, 3 or 5. A254827

Concentric 20-gonal numbers. A195148

a(n) = Lucas(n) + (-1)ⁿ + 1. A68397

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A240046