Properties of the Number 5820

Five Thousand Eight Hundred Twenty

Basics

Value: 5819 → 5820 → 5821

Parity: even

Prime: No

Previous Prime: 5813

Next Prime: 5821

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 × 97

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010111100

Octal: 13274

Duodecimal: 3450

Hexadecimal: 16bc

Square: 33872400

Square Root: 76.28892449104261

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

Generalized 23-gonal (or icositrigonal) numbers: m*(21·m - 19)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303303

Number of integer partitions of n containing their multiset of multiplicities (as a submultiset). A325702

Number of partitions of n in which the sequence of the sum of the same summands is increasing. A304428

Poincaré series for invariant polynomial functions on the space of binary forms of degree 7. A293933

Number of balanced reduced multisystems whose atoms constitute an integer partition of n. A330679

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero. A301951

a(n) = ∑_k=1..n lcm(k,n)/gcd(k,n). A56789

Positive integers m such that (m+4)³ - m³ is a square. A263942

Expansion of (ψ(-x) / φ(-x))⁵ in powers of·where φ(), ψ() are Ramanujan θ functions. A1939

23-gonal numbers: a(n) = n(21n-19)/2. A51875