Properties of the Number 4485

Four Thousand Four Hundred Eighty-Five

Basics

Value: 4484 → 4485 → 4486

Parity: odd

Prime: No

Previous Prime: 4483

Next Prime: 4493

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 13 × 23

Divisors: 1, 3, 5, 13, 15, 23, 39, 65, 69, 115

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110000101

Octal: 10605

Duodecimal: 2719

Hexadecimal: 1185

Square: 20115225

Square Root: 66.97014260101288

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

Octagonal numbers: n*(3·n-2). Also called star numbers. A567

Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 4.8.8 2D tiling (cf. A008576). A299259

Number of configurations of the sliding block 8-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A89473

Number of palindromic and unimodal compositions of n. Equivalently, the number of orbits under conjugation of even nilpotent n X n matrices. A96441

a(n) = (2·n+5)*(2·n+1). A78371

Odd octagonal numbers: (2n+1)*(6n+1). A14641

Number of integer partitions of n whose median part is the smallest. A361860

T(n,k) = Number of n X k 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero. A302081

Number of partitions p of n into distinct parts not including mean(p). A240851

Squarefree odd numbers with exactly 4 distinct prime factors. A46390