Properties of the Number 4185

Four Thousand One Hundred Eighty-Five

Basics

Value: 4184 → 4185 → 4186

Parity: odd

Prime: No

Previous Prime: 4177

Next Prime: 4201

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 31

Divisors: 1, 3, 5, 9, 15, 27, 31, 45, 93, 135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001011001

Octal: 10131

Duodecimal: 2509

Hexadecimal: 1059

Square: 17514225

Square Root: 64.69157595854347

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

a(n) = n*(2·n + 3). A14106

Coordination sequence for "cab" 3D uniform tiling formed from octahedra and truncated cubes. A299266

9 times the triangular numbers A000217. A27468

Pairs (j, k) of numbers j<k such that φ(j) = φ(k), σ(j) = σ(k), d(j) = d(k). A134922

Ruth-Aaron numbers (2): sum of prime divisors of n = sum of prime divisors of n+1 (both taken with multiplicity). A39752

a(n) = floor(n*φ¹²), where φ is the golden ratio, A001622. A4927

Expansion of x/(1 - 5·x - 2·x²). A15535

Trajectory of n under the Reverse and Add! operation carried out in base 2 does not reach a palindrome and (presumably) does not join the trajectory of any term m < n. A75252

MacMahon's generalized sum of divisors function. A2127

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*(1-x⁴)). A2621