Properties of the Number 42302

Forty-Two Thousand Three Hundred Two

Basics

Value: 42301 → 42302 → 42303

Parity: even

Prime: No

Previous Prime: 42299

Next Prime: 42307

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 13 × 1627

Divisors: 1, 2, 13, 26, 1627, 3254, 21151, 42302

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010100111110

Octal: 122476

Duodecimal: 20592

Hexadecimal: a53e

Square: 1789459204

Square Root: 205.67450012094352

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

Number of subsets of {1, 2, ..., n} such that no member is a sum of distinct other members. A151897

Column 0 of triangle A117270, which is the matrix log of triangle A117269. A117271

Matrix log of triangle M = A117269, which satisfies: M - (M-I)² = C where C is Pascal's triangle. A117270

Number of 5-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero and avoiding the patterns z z+1 z+2 and z z-1 z-2. A209486

Number of (n+2)X(n+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00001011 00010101 or 01010101. A261372

Number of (n+2)X(6+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00001011 00010101 or 01010101. A261378

The number of partitions of the set [n] where each element can be colored 1 or 2 avoiding the patterns 1¹¹^2, 1¹²^2, and 1²²^1 in the pattern sense. A209798

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00001011 00010101 or 01010101. A261380

Numerators of continued fraction convergents to sqrt(678). A42302