Properties of the Number 28002

Twenty-Eight Thousand Two

Basics

Value: 28001 → 28002 → 28003

Parity: even

Prime: No

Previous Prime: 28001

Next Prime: 28019

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 13 × 359

Divisors: 1, 2, 3, 6, 13, 26, 39, 78, 359, 718

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 110110101100010

Octal: 66542

Duodecimal: 14256

Hexadecimal: 6d62

Square: 784112004

Square Root: 167.33798134314875

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 Hamiltonian paths in a 5 X n grid starting in the lower left corner and ending in the lower right. A14585

Expansion of ∑_k>=0 x^k/(1 - k³ * x). A349880

Integer part of 4th root of product of first n primes. A127601

a(n) = ∑_{k=0..floor(n/3)} k^n-3·k. A352945

Expansion of ∏_k>=1 (1 - x^k)^k/(1 - x^5·k)^5·k. A285285

Number of 4-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions. A187378

Number of n-bead necklaces labeled with numbers 1..6 allowing reversal, with no adjacent beads differing by more than 1. A208719

Number of directed Hamiltonian walks from NW to SW corners of a 9 X (2·n+1) grid. A333605

a(n) = ∑_k=0..n-1 T(n,k) * T(n,k+1), with T given by A026659. A26977

Array read by antidiagonals: T(n,m) = number of directed Hamiltonian walks from NW to SW corners on a grid with n rows and m columns. A271592