Properties of the Number 46805

Forty-Six Thousand Eight Hundred Five

Basics

Value: 46804 → 46805 → 46806

Parity: odd

Prime: No

Previous Prime: 46771

Next Prime: 46807

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 11 × 23 × 37

Divisors: 1, 5, 11, 23, 37, 55, 115, 185, 253, 407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011011011010101

Octal: 133325

Duodecimal: 23105

Hexadecimal: b6d5

Square: 2190708025

Square Root: 216.34463247328324

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

Square array read by upwards antidiagonals: T(m,n) is the number of simple 3-connected triangulations of a closed region in the plane with m+3 given external edges and 3n+m internal edges, m>=0, n>=1. A210664

a(n) = n*(n + 7)*(n + 14)*(n + 21)/24. A264447

Expansion of (1 - x² + x³)/((1 - x² + x³)² - 4·x³). A376787

a(n) = ∑_k=1..n F(n mod k) where F = A000045, the Fibonacci numbers. A198259

Number of simple strong triangulations of a fixed pentagon with n interior nodes. A341920

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (-1, 1, 0), (1, -1, -1), (1, 0, 0)}. A148517

If n=sum a_i b_i, (a_i,b_i positive integers) then a(n)=max value of min(all a_i and b_i). A46805