Properties of the Number 48783

Forty-Eight Thousand Seven Hundred Eighty-Three

Basics

Value: 48782 → 48783 → 48784

Parity: odd

Prime: No

Previous Prime: 48781

Next Prime: 48787

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 23 × 101

Divisors: 1, 3, 7, 21, 23, 69, 101, 161, 303, 483

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111010001111

Octal: 137217

Duodecimal: 24293

Hexadecimal: be8f

Square: 2379781089

Square Root: 220.86873930006482

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

The sequence e when b=[ 1,0,1,1,1,... ]. A42953

∏_n>=1 (1 + xⁿ)^a(n) = 1 + ∑_n>=1 prime(n+1) * xⁿ. A353160

For each cell of a polyomino let b be the number of cells that are in the same row or in the same column (including itself). Cells beyond gaps do not count. a(n) is the sum of the b values of all cells of all free polyominoes with n cells. A365835

Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1000-1111-0010 pattern in any orientation. A146398

Triangle of 4 - restricted Eulerian numbers as polynomials used in exponential data smoothing: m(p,k,x)=((-1)^k*(1 - x)^{p + k}/(k!(p - 1)!))*Sum[(p - 1 + j)!*j^k*x^j/(j!), {j, 0, Infinity}]/x;n=6; t(m,l)=coefficients((-1)^m*m!*M[n, m, x])/n. A152249

Numbers n such that prime(n) - σ(n) - φ(n) = prime(n+1) - σ(n+1) - φ(n+1), where σ(n) = sum of divisors of n. A48783