Properties of the Number 61803

Sixty-One Thousand Eight Hundred Three

Basics

Value: 61802 → 61803 → 61804

Parity: odd

Prime: No

Previous Prime: 61781

Next Prime: 61813

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 7 × 109

Divisors: 1, 3, 7, 9, 21, 27, 63, 81, 109, 189

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000101101011

Octal: 170553

Duodecimal: 2B923

Hexadecimal: f16b

Square: 3819610809

Square Root: 248.6020917047964

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

Signature sequence of φ = (1+sqrt(5))/2 = 1.61803... A84531

Signature sequence of 1/φ = φ-1 = (sqrt(5)-1)/2 = 0.61803... A84532

a(n) = n*(n + 1)*(n² - 3·n + 6)/8. A4255

Engel expansion of the golden ratio, (1 + sqrt(5))/2 = 1.61803... . A28259

Duplicate of A004255. A101357

Number of bracelets (turnover necklaces) of length n that have no reflection symmetry and consist of 6 white beads and n-6 black beads. A308401

Number of solutions to Snake Number Problem for snakes with n-periodic instructions in an infinite square grid (see Comments). A352388

Numbers k such that 387·2^k+1 is prime. A323038

Smallest term in Zeckendorf representation of n. A139764

Tridiagonal matrix M read by antidiagonals: main diagonal is 1,2,2,2,2,..., two adjacent diagonals are 1,1,1,1,1,... A332602