Properties of the Number 2008

Two Thousand Eight

Basics

Value: 2007 → 2008 → 2009

Parity: even

Prime: No

Previous Prime: 2003

Next Prime: 2011

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 251

Divisors: 1, 2, 4, 8, 251, 502, 1004, 2008

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11111011000

Octal: 3730

Duodecimal: 11B4

Hexadecimal: 7d8

Square: 4032064

Square Root: 44.81071300481616

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

Numbers k such that 2^k + 3 is prime. A57732

Number of subsets of {1..n} containing n such that some element can be written as a nonnegative linear combination of the others. A365046

Number A(n,k) of n X n nonnegative integer matrices with all row and column sums equal to k; square array A(n,k), n >= 0, k >= 0, read by antidiagonals. A257493

Years in which there are five Fridays in the month of February. A141287

Number of 4 X 4 matrices with nonnegative integer entries and row and column sums equal to n. A1496

Numbers where 0 outnumbers any other digit. A292450

Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives numbers belonging to cycles, including fixed points. A164998

Numbers k such that φ(k) is a perfect cube. A39771

List of fixed points of the base-3 Kaprekar map A164993. A164997

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically. A258554

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