Properties of the Number 8092

Eight Thousand Ninety-Two

Basics

Value: 8091 → 8092 → 8093

Parity: even

Prime: No

Previous Prime: 8089

Next Prime: 8093

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 7 × 17 ²

Divisors: 1, 2, 4, 7, 14, 17, 28, 34, 68, 119

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110011100

Octal: 17634

Duodecimal: 4824

Hexadecimal: 1f9c

Square: 65480464

Square Root: 89.95554457619608

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: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = floor(a(n-1)*3/2) with a(1) = 2. A61418

Number of 2's in the last section of the set of partitions of n. A182712

a(n) = n*(n²+3·n-1)/3. A84990

Matrix square of Stirling2 triangle A008277: 2-levels set partitions of [n] into k first-level subsets. A39810

a(n) = ∑_k=0..n (-1)^n-k*A000041(k). A87787

a(n) = 7·n². A33582

Central quadrinomial coefficients. A5721

Square of the Stirling2 matrix A048993. A130191

T(n,k) is the number of n-bead necklaces labeled with numbers -k..k allowing reversal, with sum zero and first and second differences in -k..k. A208970

Number of partitions of n containing a clique of size 8. A183565