Properties of the Number 84663

Eighty-Four Thousand Six Hundred Sixty-Three

Basics

Value: 84662 → 84663 → 84664

Parity: odd

Prime: No

Previous Prime: 84659

Next Prime: 84673

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 23 × 409

Divisors: 1, 3, 9, 23, 69, 207, 409, 1227, 3681, 9407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101010110111

Octal: 245267

Duodecimal: 40BB3

Hexadecimal: 14ab7

Square: 7167823569

Square Root: 290.9690705212497

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

Number of points in Z⁹ of norm <= n. A55415

a(n) = [xⁿ] theta₃(x)ⁿ/(1 - x), where theta₃() is the Jacobi θ function. A302860

Number of integer solutions to (x₁)² + (x₂)² + ... + (x₉)² <= n. A341398

Number of points in Zⁿ of norm <= 3. A55427

a(1) = 8; a(n) = a(n-1) + gcd(a(n-1), n). A84663

Array T(d,n) = number of integer lattice points inside the d-dimensional hypersphere of radius sqrt(n), read by ascending antidiagonals. A122510

The simple continued fraction expansion of F(x) := ∏_{n >= 0} (1 - x^4·n+3)/(1 - x^4·n+1) when x = 1/2*(5 - sqrt(21)). A221365