Properties of the Number 8292

Eight Thousand Two Hundred Ninety-Two

Basics

Value: 8291 → 8292 → 8293

Parity: even

Prime: No

Previous Prime: 8291

Next Prime: 8293

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 691

Divisors: 1, 2, 3, 4, 6, 12, 691, 1382, 2073, 2764

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10000001100100

Octal: 20144

Duodecimal: 4970

Hexadecimal: 2064

Square: 68757264

Square Root: 91.06041950265768

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 subsets of {1,2,...,n} that contain the average of their elements. A65795

Number of anisohedral polyiamonds with n cells. A75224

a(n) = T(n,n-4), array T as in A055807. A55809

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 01010101 or 01010111. A260138

Number of partitions of n such that the number of parts is a part and the number of distinct parts is a part. A241377

The number of ways of tiling the n X n grid up to the symmetries of the square by a tile that is fixed under both horizontal and vertical reflection, but not diagonal reflection. A367522

The number of ways of tiling the n X n grid up to the symmetries of the square by a tile that is fixed under 90-degree rotations, but not reflections. A367523

a(n) = ∑_i=1..n T(i,n-i), where T is A049615. A49616

Triangle read by rows: T(n,k) is the k-th generalized Eulerian number of order n and degree 3, n >= 1. A211233

a(n) = prime(n) + prime(n²). A92504