Properties of the Number 82449

Eighty-Two Thousand Four Hundred Forty-Nine

Basics

Value: 82448 → 82449 → 82450

Parity: odd

Prime: No

Previous Prime: 82421

Next Prime: 82457

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 9161

Divisors: 1, 3, 9, 9161, 27483, 82449

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001000010001

Octal: 241021

Duodecimal: 3B869

Hexadecimal: 14211

Square: 6797837601

Square Root: 287.1393389976372

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

G.f. A(x) satisfies A(x) = 1 + x*(A(x)² - A(x)³ + A(x)⁴). A219537

Number of compositions of n such that no part equals any of its two immediate predecessors. A261962

Table (read by antidiagonals): t(1,n) = t(m,1) = 1 for all m and n. t(m,n) = (product{k=1 to m-1} t(k,n)) + (product{k=1 to n-1} t(m,k)). A124975

Let f(p) = greatest prime divisor of p-1. Sequence gives smallest prime which takes at least n steps to reach 2 when f is iterated. A82449

Number of ways to place 6 nonattacking kings on an n X n toroidal board. A179426