Properties of the Number 4682

Four Thousand Six Hundred Eighty-Two

Basics

Value: 4681 → 4682 → 4683

Parity: even

Prime: No

Previous Prime: 4679

Next Prime: 4691

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 2341

Divisors: 1, 2, 2341, 4682

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001001010

Octal: 11112

Duodecimal: 2862

Hexadecimal: 124a

Square: 21921124

Square Root: 68.42514157822401

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) is the number of partitions of 2n that can be obtained by adding together two (not necessarily distinct) partitions of n. A2219

Number of partitions of n into distinct parts, the least being odd. A26832

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 7. A252384

Array A read by diagonals; n-th difference of (A(k,n), A(k,n-1),..., A(k,0)) is (k+2)^n-1, for n=1,2,3,...; k=0,1,2,... A47848

T(n,k)=Number of nXk 0..3 arrays with every 0 next to a 1, every 1 next to a 2 and every 2 next to a 3 horizontally, diagonally or antidiagonally, and no adjacent values equal. A232376

Standard composition numbers of compositions whose maximal runs all belong to {(1), (2,2), (3,3,3), ...}. A389530

Maximum number of regions into which the plane is divided by n triangles. A77588

Number of cubic residues mod 2ⁿ. A46630

E.g.f.: (exp(x)-1)²/(2-exp(x)). A52875

Number of conjugacy class of index n subgroups in PSL₂ (ZZ). A121350