Properties of the Number 67844

Sixty-Seven Thousand Eight Hundred Forty-Four

Basics

Value: 67843 → 67844 → 67845

Parity: even

Prime: No

Previous Prime: 67843

Next Prime: 67853

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7 × 2423

Divisors: 1, 2, 4, 7, 14, 28, 2423, 4846, 9692, 16961

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10000100100000100

Octal: 204404

Duodecimal: 33318

Hexadecimal: 10904

Square: 4602808336

Square Root: 260.46880811337087

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

Square array of coefficients in the successive iterations of x·C(x) = (1-sqrt(1-4·x))/2 where C(x) is the g.f. of the Catalan numbers (A000108); read by antidiagonals. A158825

The 5th iteration of x·C(x) where C(x) is the Catalan function (A000108). A158828

Triangle, read by rows, that transforms diagonals in the array A158825 of coefficients of successive iterations of x·C(x) where C(x) is the Catalan function (A000108). A158835

A diagonal in the array A158825 of coefficients of successive iterations of x·C(x), where C(x) is the Catalan function (A000108). A158831

Main diagonal in the array A158825 of coefficients of successive iterations of x·C(x), where C(x) is the Catalan function (A000108). A158832

Triangle, read by rows, where the g.f. of row n divided by (1-x)ⁿ yields the g.f. of column n in the triangle A122888, for n>=1. A122890

A diagonal in the array A158825 of coefficients of successive iterations of x·C(x), where C(x) is the Catalan function (A000108). A158833

A diagonal in the array A158825 of coefficients of successive iterations of x·C(x), where C(x) is the Catalan function (A000108). A158834

Numbers k such that k and 2^k end with the same digit. A67844

Triangle, read by rows n>=1, where row n is the n-th differences of column n of array A158825, where the g.f. of row n of A158825 is the n-th iteration of x·Catalan(x). A158830