Properties of the Number 42669

Forty-Two Thousand Six Hundred Sixty-Nine

Basics

Value: 42668 → 42669 → 42670

Parity: odd

Prime: No

Previous Prime: 42667

Next Prime: 42677

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 431

Divisors: 1, 3, 9, 11, 33, 99, 431, 1293, 3879, 4741

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011010101101

Octal: 123255

Duodecimal: 20839

Hexadecimal: a6ad

Square: 1820643561

Square Root: 206.5647598212241

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..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254422

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253524

Column 3 of array in A226513. A226514

Consider all integer triples (i,j,k), j,k>0, with i³=j³+binomial(k+2,3), ordered by increasing i; sequence gives i values. A54234

Partial sums of A334136. A332264

Number of (n+1) X (1+1) 0..2 arrays with every 2 X 2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253517

a(n) = floor(3rd elementary symmetric function of ∑_j=1..k 1/j, k = 1,2,...,n). A25213

Number of (n+1)X(5+1) 0..2 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253521

Number of (n+1)X(5+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254419

Number of (5+1)X(n+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254426