Properties of the Number 42788

Forty-Two Thousand Seven Hundred Eighty-Eight

Basics

Value: 42787 → 42788 → 42789

Parity: even

Prime: No

Previous Prime: 42787

Next Prime: 42793

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 19 × 563

Divisors: 1, 2, 4, 19, 38, 76, 563, 1126, 2252, 10697

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011100100100

Octal: 123444

Duodecimal: 20918

Hexadecimal: a724

Square: 1830812944

Square Root: 206.8526045279585

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

G.f. satisfies A(x) = 1 + x⁵*A(x)³ / (1 - x·A(x)). A365700

Number of slanted n X 4 (i=1..n) X (j=i..4+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 3 neighbors with the same value. A165381

Numerators of continued fraction convergents to sqrt(925). A42788

Table read by antidiagonals: T(h,n) is the number of n-step self avoiding walks on a 2D square grid confined to an infinite strip of height h where the walk starts at the origin. A336769