Properties of the Number 2002

Two Thousand Two

Basics

Value: 2001 → 2002 → 2003

Parity: even

Prime: No

Previous Prime: 1999

Next Prime: 2003

Digit Sum: 4

Digital Root: 4

Palindrome: Yes

Factorization: 2 × 7 × 11 × 13

Divisors: 1, 2, 7, 11, 13, 14, 22, 26, 77, 91

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111010010

Octal: 3722

Duodecimal: 11AA

Hexadecimal: 7d2

Square: 4008004

Square Root: 44.74371464239419

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

Binomial coefficients C(n,5). A389

Catalan's triangle T(n,k) (read by rows): each term is the sum of the entries above and to the left, i.e., T(n,k) = ∑_j=0..k T(n-1,j). A9766

Catalan triangle A009766 transposed. A33184

a(n) = 3ⁿ + 5ⁿ + 6ⁿ. A1579

Generalized 10-gonal numbers: m*(4·m - 3) for m = 0, +- 1, +- 2, +- 3, ... A74377

Numbers whose square is a palindrome. A2778

Fourth convolution of Catalan numbers: a(n) = 4·binomial(2·n+3,n)/(n+4). A2057

Triangle formed from odd-numbered columns of triangle of expansions of powers of·in terms of Chebyshev polynomials U_n(x). Sometimes called Catalan's triangle. A39598

Triangle T(n,k), 0 <= k <= n, read by rows, given by [0, 1, 1, 1, 1, 1, 1, 1, ... ] δ [1, 0, 0, 0, 0, 0, 0, 0, ... ] where δ is the operator defined in A084938. A106566

Second 10-gonal (or decagonal) numbers: n*(4·n+3). A33954

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