Properties of the Number 90003

Ninety Thousand Three

Basics

Value: 90002 → 90003 → 90004

Parity: odd

Prime: No

Previous Prime: 90001

Next Prime: 90007

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 19 × 1579

Divisors: 1, 3, 19, 57, 1579, 4737, 30001, 90003

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111110010011

Octal: 257623

Duodecimal: 44103

Hexadecimal: 15f93

Square: 8100540009

Square Root: 300.00499995833405

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

Motzkin numbers: number of ways of drawing any number of nonintersecting chords joining n (labeled) points on a circle. A1006

Length of shortest addition chain for n. A3313

Length of longest contiguous block of 1's in binary expansion of n³. A90003

The minimum number of nodes of a tree with a cutting center of n nodes. A2887

a(n) is the cutting number of the tree corresponding to A002887(n). A2888

Primes p such that the non-Pellian equation x²-2py²=-1 is solvable. A133204

Triangle read by rows: T(n,k) is the length of a shortest vectorial addition chain for (n,k), 0 <= k <= n. A383330

Square array read by antidiagonals: T(n,k) is the number of n-tuples of nonnegative integers, not all equal to 0, with a shortest vectorial addition chain of length k; n >= 1, k >= 0. A383333

Weight distribution of any one of the five doubly-even binary [32,16,8] codes (quadratic residue, Reed-Muller, etc.). A10031

Number of decomposable binary self-dual codes of length 2n (up to permutation equivalence). A322429