Properties of the Number 42736

Forty-Two Thousand Seven Hundred Thirty-Six

Basics

Value: 42735 → 42736 → 42737

Parity: even

Prime: No

Previous Prime: 42727

Next Prime: 42737

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 2671

Divisors: 1, 2, 4, 8, 16, 2671, 5342, 10684, 21368, 42736

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011011110000

Octal: 123360

Duodecimal: 20894

Hexadecimal: a6f0

Square: 1826365696

Square Root: 206.7268729507608

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

Let S denote the palindromes in the language {0,1}*; a(n) = number of words of length n in the language SS. A7055

Number of 2n-bead balanced binary strings, rotationally equivalent to reverse, complement and reversed complement. A45656

Number of leftist trees with n leaves. A6196

Number of bits in A127962(n). A127965

Series reversion of g.f. A(x) is -A(-x). A89796

Number of binary strings of length n having a cyclic shift that is a palindrome. A245582

Lexicographically earliest sequence of positive integers such that for any n > 0, the binary expansion of a(n) contains the binary expansion of k for k = 1..n and the binary expansion of a(n+1) is obtained by replacing a possibly empty substring of the binary expansion of a(n) by the binary expansion of n+1. A344184

Number of permutations of length n which avoid the patterns 321 and 1324. A179257

Numerators of continued fraction convergents to sqrt(898). A42736