Properties of the Number 4092

Four Thousand Ninety-Two

Basics

Value: 4091 → 4092 → 4093

Parity: even

Prime: No

Previous Prime: 4091

Next Prime: 4093

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 11 × 31

Divisors: 1, 2, 3, 4, 6, 11, 12, 22, 31, 33

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111111100

Octal: 7774

Duodecimal: 2450

Hexadecimal: ffc

Square: 16744464

Square Root: 63.968742366877905

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

Sum of all parts of the last section of the set of partitions of n. A138879

Numbers j such that σ(σ(j)) = k·j for some k. A19278

a(n) = 2ⁿ - 4. A28399

Number of partitions of n in which the sequence of frequencies of the summands is nonincreasing. A100882

a(n) = n*(2·n+5). A33537

a(n) is the number of times that only 2 pegs have disks on them during the optimal solution to a Towers of Hanoi problem with n disks. A347789

Number of ways of writing n as a sum of 6 squares. A141

a(n) = floor(n*φ¹⁵), where φ is the golden ratio, A001622. A4930

Dispersion of A047215, (numbers >1 and congruent to 0 or 2 mod 5), by antidiagonals. A191723

Second diagonal under the main diagonal in A172119 written in a square (see comment). A173033