Properties of the Number 42357

Forty-Two Thousand Three Hundred Fifty-Seven

Basics

Value: 42356 → 42357 → 42358

Parity: odd

Prime: No

Previous Prime: 42349

Next Prime: 42359

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 2017

Divisors: 1, 3, 7, 21, 2017, 6051, 14119, 42357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010101110101

Octal: 122565

Duodecimal: 20619

Hexadecimal: a575

Square: 1794115449

Square Root: 205.80816310341046

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

Euler transform of A000389. A417

Number of vertices formed inside a square with edge length 1 by the straight line segments mutually connecting all vertices and points that divide the sides into segments with lengths equal to the Farey series of order n = A006842(n,k)/A006843(n,k), k = 1..A005728(n). A358887

Numbers that are the sum of seven fourth powers in exactly eight ways. A345830

Expansion of 1/((1-x)*(1-x²)²*(1-x³)²*(1-x⁴)²*(1-x⁵)*(1-x⁶)). A45513

Triangle read by rows: row n gives the first n terms of the binomial transform of the n-th row of A116672. A289656

p-INVERT of the Fibonacci sequence (A000045), where p(S) = (1 - S)³. A292328

Denominators of continued fraction convergents to sqrt(705). A42357