Properties of the Number -227528

Two Hundred Twenty-Seven Thousand Five Hundred Twenty-Eight

Basics

Value: -227529 → -227528 → -227527

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 7 × 17 × 239

Divisors: 1, 2, 4, 7, 8, 14, 17, 28, 34, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8109 Try Today's Challenge

Representations

Binary: -110111100011001000

Octal: -674310

Duodecimal: -AB808

Hexadecimal: -378c8

Square: 51768990784

Square Root: 476.9989517808189

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

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

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

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

Numbers k, not powers of primes, for which A011772(k) divides A344875(k), and for all proper divisors d of k, A011772(d) < A011772(k). A344694

Numerators of continued fraction convergents to sqrt(103). A41184

Numerators of continued fraction convergents to sqrt(927). A42792

Fifth Lie-Betti number of a path graph on n vertices. A364579

Composite numbers k such that (k+1)*σ(k) is a perfect square. A73586

Write fundamental unit for real quadratic field of discriminant n as x + y*ω; sequence gives values of·for n == 3 mod 4. A53372