Properties of the Number 42296

Forty-Two Thousand Two Hundred Ninety-Six

Basics

Value: 42295 → 42296 → 42297

Parity: even

Prime: No

Previous Prime: 42293

Next Prime: 42299

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 17 × 311

Divisors: 1, 2, 4, 8, 17, 34, 68, 136, 311, 622

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010100111000

Octal: 122470

Duodecimal: 20588

Hexadecimal: a538

Square: 1788951616

Square Root: 205.65991344936427

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

T(n,k)=Number of nXk 0..2 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A279871

Least k > 0 such that gcd(kⁿ+5, (k+1)ⁿ+5) > 1, or 0 if there is no such k. A255855

Number of (n+2) X (5+2) 0..3 arrays with every consecutive three elements in every row and column having exactly two distinct values, and in every diagonal and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252692

Number of n X 3 0..2 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A279867

Number of strict compositions of divisors of n. A336129

Numerators of continued fraction convergents to sqrt(674). A42296

Hilltop maps: number of nX5 binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..1 nX5 array. A218660