Properties of the Number 42763

Forty-Two Thousand Seven Hundred Sixty-Three

Basics

Value: 42762 → 42763 → 42764

Parity: odd

Prime: No

Previous Prime: 42751

Next Prime: 42767

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 × 41 × 149

Divisors: 1, 7, 41, 149, 287, 1043, 6109, 42763

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011100001011

Octal: 123413

Duodecimal: 208B7

Hexadecimal: a70b

Square: 1828674169

Square Root: 206.7921661959176

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

Expansion of (-5·x² + 138·x + 3)/(x³ - 99·x² + 99·x - 1). A269553

Let M(n) = maximal value of (n/k)^k over all k = 1, 2, ...; a(n) = ceiling(M(n)). A139078

Constant term in the reduction of the polynomial 1+x+x²+...+xⁿ by x³->x²+x+1. See Comments. A192804

Composite squarefree numbers n such that p(i)-5 divides n+5, where p(i) are the prime factors of n. A225705

Number of 5-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions. A187510

Number of (n+1) X (n+1) -5..5 symmetric matrices with every 2 X 2 subblock having sum zero and one or three distinct values. A211331

a(1) = least k such that 1/3 < H(k) - 1/3; a(2) = least k such that H(a(1)) - H(3) < H(k) - H(a(1)), and for n > 2, a(n) = least k such that H(a(n-1)) - H(a(n-2)) > H(k) - H(a(n-1)), where H = harmonic number. A225605

Denominators of continued fraction convergents to sqrt(912). A42763