Properties of the Number -48842

Forty-Eight Thousand Eight Hundred Forty-Two

Basics

Value: -48843 → -48842 → -48841

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 24421

Divisors: 1, 2, 24421, 48842

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1011111011001010

Octal: -137312

Duodecimal: -24322

Hexadecimal: -beca

Square: 2385540964

Square Root: 221.00226243185838

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

Smallest positive integer·satisfying the Pell equation x² - D·y² = 1 for nonsquare D and positive y. A33313

Solution to a Pellian equation: least·such that x² - n·y² = +- 1. A6702

a(n) is smallest natural number a satisfying Pell equation a² - d(n)*b²= +1 or = -1, with d(n)=A000037(n) (a nonsquare). Corresponding smallest b(n)=A077233(n). A77232

Let p = n-th prime, take smallest solution (x,y) to the Pellian equation x² - p·y² = 1 with·and y >= 1; sequence gives value of x. A81233

Solution to Pellian: x such that x² - n y² = +- 1, +- 4. A6704

a(n) = 81·n² - 72·n + 17. A154277

Let p = n-th prime of the form 4k+3, take smallest solution (x,y) to the Pellian equation x² - p·y² = 1 with·and y >= 1; sequence gives value of x. A81231

a(n) = 6561·n² - 3564·n + 485. A156774

a(n) = 531441·n² - 740664·n + 258065. A157667

The positive fundamental solutions x = x0(n) for the Pell equation x² - d·y² = +1 with odd y = y0(n). Then d coincides with d(n) = A007970(n). A262027