Properties of the Number 48727

Forty-Eight Thousand Seven Hundred Twenty-Seven

Basics

Value: 48726 → 48727 → 48728

Parity: odd

Prime: No

Previous Prime: 48679

Next Prime: 48731

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 × 6961

Divisors: 1, 7, 6961, 48727

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111001010111

Octal: 137127

Duodecimal: 24247

Hexadecimal: be57

Square: 2374320529

Square Root: 220.74193076984716

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

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2·k+1 if k <= floor(n/2) otherwise 2*(n-k)+1, and m = 1, read by rows. A157272

Number of distinct lines through the origin in 3-dimensional cube of side length n. A90025

Denominators of continued fraction convergents to sqrt(639). A42227

Denominators of continued fraction convergents to sqrt(71). A41125

Denominators of continued fraction convergents to sqrt(284). A41535

The y member of the positive proper fundamental solution (x = x2(n), y = y2(n)) of the second class for the Pell equation x² - D(n)*y² = +8 for even D(n) = A264354(n). A264439

Number of nondecreasing -n..n vectors of length 5 whose dot product with some nondecreasing -n..n vector equals 5. A226413

a(n) = Xmult(n,7) or rule150(n,1). A48727

T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some nondecreasing -k..k vector equals n. A226410

Continued fraction expansion of a constant r such that the odd-indexed bisection equals the continued fraction of 2·r, with an even-indexed bisection of all 2's. A322728