Properties of the Number 3820

Three Thousand Eight Hundred Twenty

Basics

Value: 3819 → 3820 → 3821

Parity: even

Prime: No

Previous Prime: 3803

Next Prime: 3821

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 × 191

Divisors: 1, 2, 4, 5, 10, 20, 191, 382, 764, 955

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011101100

Octal: 7354

Duodecimal: 2264

Hexadecimal: eec

Square: 14592400

Square Root: 61.806148561449774

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

Number of different products of partitions of n; number of partitions of n into prime parts (1 included); number of distinct orders of Abelian subgroups of symmetric group S_n. A34891

Numbers n such that n¹⁰²⁴ + 1 is prime (a generalized Fermat prime). A57002

Numbers k such that k² divides 7^k-1. A127107

Generalized 22-gonal (or icosidigonal) numbers: m*(10·m - 9) with m = 0, +1, -1, +2, -2, +3, -3, ... A303299

a(n) = (n+1)*(n²+n+2)/2; g.f.: (1 + 2·x²) / (1 - x)⁴. A6000

G.f. satisfies: A(x) = 1 + x/A(-x·A(x)¹⁰)⁵. A213104

Triangle V, read by rows, where column k of V^j+1 = column j of P^3k+2, for j>=0, k>=0 and where P=A136220. A136230

T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A231246

22-gonal numbers: a(n) = n*(10·n-9). A51874

Number of subsets of {1..n} containing n such that it is not possible to choose a different binary index of each element. A370589