Properties of the Number 66249

Sixty-Six Thousand Two Hundred Forty-Nine

Basics

Value: 66248 → 66249 → 66250

Parity: odd

Prime: No

Previous Prime: 66239

Next Prime: 66271

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 17 × 433

Divisors: 1, 3, 9, 17, 51, 153, 433, 1299, 3897, 7361

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000001011001001

Octal: 201311

Duodecimal: 32409

Hexadecimal: 102c9

Square: 4388930001

Square Root: 257.38881094561975

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

Take solution to Pellian equation x² - n·y² = 1 with smallest positive y and x >= 0; sequence gives a(n) = x, or 1 if n is a square. A002349 gives values of y. A2350

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

Incrementally largest values of minimal·satisfying Pell equation x² - D·y² = 1. A33315

Numerators of continued fraction convergents to sqrt(53). A41090

a(n) = 4·n³ - 6·n² + 1. A141530

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

a(n) = 1250·n² - 1800·n + 649. A154358

Let p = n-th prime of the form 4k+1, take smallest solution (x,y) to the Pellian equation x² - p·y² = 1 with·and y >= 1; sequence gives value of x. A81232

a(n) = 781250·n² - 1107500·n + 392499. A157620

a(n) = 781250·n² - 455000·n + 66249. A157623