Properties of the Number 42132

Forty-Two Thousand One Hundred Thirty-Two

Basics

Value: 42131 → 42132 → 42133

Parity: even

Prime: No

Previous Prime: 42131

Next Prime: 42139

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 3511

Divisors: 1, 2, 3, 4, 6, 12, 3511, 7022, 10533, 14044

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010010010100

Octal: 122224

Duodecimal: 20470

Hexadecimal: a494

Square: 1775105424

Square Root: 205.26080970316764

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

Numbers whose digits are in nondecreasing order in bases 7 and 8. A329297

Numbers k such that 2^k mod k = 2^k mod k². A68535

4·a(n) is the maximum possible determinant of a 3 X 3 matrix whose entries are 9 consecutive primes starting with prime(n). A340923

Numbers k that are not powers of 2 such that 2^k mod k = 2^k mod k²; or A068535 with powers of 2 excluded. A125773

Indices where A092243 strictly changes sign. A269737

Prime gaps: differences between consecutive primes, starting at 10¹⁰⁰⁰⁰⁰. A365612

Expansion of e.g.f. (1/x) * Series_Reversion( x * (1 - 3·x*exp(x)) ). A380097

Number of 2 X n arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 2 X n array. A219382

Number of (n+1) X (1+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..3 introduced in row major order. A231356

Numerators of continued fraction convergents to sqrt(591). A42132