Properties of the Number 3003

Three Thousand Three

Basics

Value: 3002 → 3003 → 3004

Parity: odd

Prime: No

Previous Prime: 3001

Next Prime: 3011

Digit Sum: 6

Digital Root: 6

Palindrome: Yes

Factorization: 3 × 7 × 11 × 13

Divisors: 1, 3, 7, 11, 13, 21, 33, 39, 77, 91

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 101110111011

Octal: 5673

Duodecimal: 18A3

Hexadecimal: bbb

Square: 9018009

Square Root: 54.79963503528103

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

Hexagonal numbers: a(n) = n*(2·n-1). A384

Binomial coefficients C(n,5). A389

a(n) = binomial coefficient C(2n, n-1). A1791

a(n) = binomial(3n,n). A5809

Figurate numbers or binomial coefficients C(n,6). A579

Triangle read by rows: T(n, k) = binomial(n + k, 2·k). A85478

Tritriangular numbers: a(n) = binomial(binomial(n,2),2) = n*(n+1)*(n-1)*(n-2)/8. A50534

Triangle of Bessel numbers read by rows: T(n,k) is the number of k-matchings of the complete graph K(n). A100861

a(n) = binomial coefficient C(n,8). A581

Numerators in expansion of (1 - x)^-3/2. A1803