Properties of the Number 42548

Forty-Two Thousand Five Hundred Forty-Eight

Basics

Value: 42547 → 42548 → 42549

Parity: even

Prime: No

Previous Prime: 42533

Next Prime: 42557

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 11 × 967

Divisors: 1, 2, 4, 11, 22, 44, 967, 1934, 3868, 10637

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011000110100

Octal: 123064

Duodecimal: 20758

Hexadecimal: a634

Square: 1810332304

Square Root: 206.27166552873908

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

Combined weight, as defined at A244094, of the distinct-parts partitions of n. A234924

Expansion of ∑_0<i<j<k<l q^2*(i+j+k+l-4)/( (1-q^2·i-1)*(1-q^2·j-1)*(1-q^2·k-1)*(1-q^2·l-1) )². A365666

Number of n edge connected unsensed planar maps with an external face in which all internal faces are triangles. A378343

Integers n > 1 such that A130280(4n²) < n, i.e., there is an m < n, m > 1 such that 4n²(m² - 1) + 1 is a square. A130281

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ / (x·A(x))' = 0 for n > 1. A300994

Numerators of continued fraction convergents to sqrt(803). A42548

Number of n X 4 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303080