Properties of the Number 42032

Forty-Two Thousand Thirty-Two

Basics

Value: 42031 → 42032 → 42033

Parity: even

Prime: No

Previous Prime: 42023

Next Prime: 42043

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 37 × 71

Divisors: 1, 2, 4, 8, 16, 37, 71, 74, 142, 148

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010000110000

Octal: 122060

Duodecimal: 203A8

Hexadecimal: a430

Square: 1766689024

Square Root: 205.01707245983198

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 length-n 0..k arrays with no adjacent pair x,x+1 followed at any distance by x+1,x. A268457

Product of n and the sum of all divisors of all positive integers <= n. A256533

Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic residues mod p that are > p/2. A282040

Expansion of ∏_k>=1 (1 - x^6·k) * (1 + x^k) / (1 - x^k). A280874

σ(n) + φ(n) is a fourth power. A114068

Difference between the sum of odd parts and the sum of even parts in all the partitions of n. A208477

Number of length-n 0..3 arrays with no adjacent pair x,x+1 followed at any distance by x+1,x. A268452

Number of nX7 0..1 arrays with every element unequal to 0, 1, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A304930

Number of ways to tile a hexagonal strip made up of n equilateral triangles, using singles and triples. A365352

Numbers k such that (35·10^k - 737)/9 is prime. A295397