Properties of the Number 42704

Forty-Two Thousand Seven Hundred Four

Basics

Value: 42703 → 42704 → 42705

Parity: even

Prime: No

Previous Prime: 42703

Next Prime: 42709

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 17 × 157

Divisors: 1, 2, 4, 8, 16, 17, 34, 68, 136, 157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011011010000

Octal: 123320

Duodecimal: 20868

Hexadecimal: a6d0

Square: 1823631616

Square Root: 206.64946164943183

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 compositions of n whose run-lengths are either strictly increasing or strictly decreasing. A333191

The trinomial transform (A027907) gives powers of 2, while the trinomial transform of this sequence shift one place left gives powers of 3. A100321

Number of binary strings of length n containing the substring 11011. A276785

Numbers k such that one can make an equilateral triangle from a chain of linked rods of length 1, 2, 3, ..., k, with perimeter equal to the total length. A382632

Expansion of -x*(47·x³+25·x²+5·x+1)/(38·x⁴+54·x³+22·x²-1). A122501

Numerators of continued fraction convergents to sqrt(882). A42704

Number of (n+1)X4 0..1 arrays with the permanents of 2X2 subblocks nondecreasing rightwards and downwards. A204718

Number of nX4 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero. A230827