Properties of the Number 36403

Thirty-Six Thousand Four Hundred Three

Basics

Value: 36402 → 36403 → 36404

Parity: odd

Prime: No

Previous Prime: 36389

Next Prime: 36433

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 59 × 617

Divisors: 1, 59, 617, 36403

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111000110011

Octal: 107063

Duodecimal: 19097

Hexadecimal: 8e33

Square: 1325178409

Square Root: 190.79570225767665

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

Triangle read by rows: number of permutation trees of power n and height <= k + 1. A179455

a(n) = 4·a(n-1) + 2·n - 1. A141291

Irregular triangular array read by rows: T(n,k) is the number of inequivalent n X n {0,1} matrices modulo permutation of the rows, containing exactly k 1's; n>=0, 0<=k<=n². A220886

Square array read by ascending antidiagonals, Bell numbers iterated by the Bell transform. A265312

a(n) = (5·2ⁿ - 5*(-1)ⁿ - 3·n*(-1)ⁿ) / 9. A172285

Third-order Bell numbers. A264432

Triangle read by rows, Bell transform of the third-order Bell numbers, T(n,k) for n >= 0 and 0 <= k <= n. A264433

Number of equilateral triangles whose vertices (whether connected by lines or not) lie at intersection points resulting from drawing lines connecting every pair of vertices of a regular 3n-gon (and extending beyond the polygon). A36403