Properties of the Number 42305

Forty-Two Thousand Three Hundred Five

Basics

Value: 42304 → 42305 → 42306

Parity: odd

Prime: No

Previous Prime: 42299

Next Prime: 42307

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 8461

Divisors: 1, 5, 8461, 42305

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010101000001

Octal: 122501

Duodecimal: 20595

Hexadecimal: a541

Square: 1789713025

Square Root: 205.6817930688081

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 (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j⁴*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i⁴*x(i,j), i=1..n+1} nondecreasing. A232797

Array T(n,k) = number of n X k binary matrices with rows and columns in lexicographically nondecreasing order. A180985

Indices where A092243 strictly changes sign. A269737

Number of nX4 binary arrays with rows and columns in nondecreasing order. A184139

Number of nX7 binary arrays with rows and columns in nondecreasing order. A184142

Number of (n+1)X(3+1) 0..1 arrays x(i,j) with row sums sum{j⁴*x(i,j), j=1..3+1} nondecreasing, and column sums sum{i⁴*x(i,j), i=1..n+1} nondecreasing. A232792

Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 0100-1100-1111 pattern in any orientation. A146784

Number of (n+1) X (6+1) 0..1 arrays x(i,j) with row sums ∑_j=1..6+1 j⁴*x(i,j) nondecreasing, and column sums ∑_i=1..n+1 i⁴*x(i,j) nondecreasing. A232795

Denominators of continued fraction convergents to sqrt(679). A42305