Properties of the Number 83673

Eighty-Three Thousand Six Hundred Seventy-Three

Basics

Value: 83672 → 83673 → 83674

Parity: odd

Prime: No

Previous Prime: 83663

Next Prime: 83689

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 1033

Divisors: 1, 3, 9, 27, 81, 1033, 3099, 9297, 27891, 83673

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011011011001

Octal: 243331

Duodecimal: 40509

Hexadecimal: 146d9

Square: 7001170929

Square Root: 289.26285623978754

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. satisfies A(x) = 1 + x⁵*A(x)⁴ / (1 - x·A(x)). A365701

From Apery continued fraction for ζ(3): ζ(3)=6/(5-1⁶/(117-2⁶/(535-3⁶/(1463...)))). A6221

A variant of the recurrence for A001190. A38751

Apparently solves the identity: Find sequence A that represents the numbers of ordered compositions of n into the elements of the set {B}; and vice versa. A224341

First differences have period 6: 2,-1,3,4,-3,7, 2,-1,3,4,-3,7, 2,-1,... A83673