Properties of the Number 42732

Forty-Two Thousand Seven Hundred Thirty-Two

Basics

Value: 42731 → 42732 → 42733

Parity: even

Prime: No

Previous Prime: 42727

Next Prime: 42737

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 1187

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 1187

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011011101100

Octal: 123354

Duodecimal: 20890

Hexadecimal: a6ec

Square: 1826023824

Square Root: 206.71719812342658

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

Triangle read by rows: T(n,k) is the number of ways to place k non-attacking kings in each row and column of an n X n board, 0 <= k <= floor(n/4) + [n=1]. A387098

Triangle T(n,k) read by rows: number of k X k symmetric matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n, n>=1, 1<=k<=n. A138177

G.f.: exp( ∑_n>=1 xⁿ/n·exp( ∑_k>=1 Lucas(n·k)*x^n·k/k ) ) where Lucas(n) = A000032(n). A203318

Number of descents in all involutions of {1,2,...,n}. A161125

Number of n-step spirals on hexagonal lattice. A6776

Number of nonnegative solutions to (x₁)² + (x₂)² + ... + (x₈)² <= n. A341403

Number of ways to place 3 non-attacking kings in each row and column of an n X n board. A389770

Number of nX2 1..4 arrays containing at least one of each value, all equal values connected, and rows considered as a single number in nondecreasing order. A166777

Number of 5X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 5 zero-sum 2-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192705

Numbers k such that Bernoulli number B_k has denominator 1919190. A295595