Properties of the Number 3689

Three Thousand Six Hundred Eighty-Nine

Basics

Value: 3688 → 3689 → 3690

Parity: odd

Prime: No

Previous Prime: 3677

Next Prime: 3691

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 7 × 17 × 31

Divisors: 1, 7, 17, 31, 119, 217, 527, 3689

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001101001

Octal: 7151

Duodecimal: 2175

Hexadecimal: e69

Square: 13608721

Square Root: 60.73713855624086

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

Coordination sequence T1 for Zeolite Code LTA and ρ. A8137

Number of partitions of 4n into 4 parts. A238340

Generalized 29-gonal (or icosienneagonal) numbers: m*(27·m - 25)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303815

Coordination sequence for (2,4,8) tiling of hyperbolic plane. A265063

a(n) = floor(n*φ¹⁰), where φ is the golden ratio, A001622. A4925

Nonnegative values·of solutions (x, y) to the Diophantine equation x² + (x + 31)² = y². A118674

Numbers k such that the decimal number 1k is a square. A272671

Base-16 Armstrong or narcissistic numbers (written in base 10). A161953

Expansion of x*(1+x-x²)/((1-x)⁴*(1+x)). A5744

Elliptic divisibility sequence associated with elliptic curve "37a1": y² + y = x³ - x and multiples of the point (0,0). A6769