7744

Number
$7744$ (seven thousand, seven hundred and forty-four) is:


 * $2^6 \times 11^2$


 * The $17$th square after $1$, $4$, $9$, $16$, $25$, $36$, $49$, $64$, $81$, $121$, $144$, $225$, $441$, $484$, $676$, $1444$ which has no more than $2$ distinct digits and does not end in $0$:
 * $7744 = 88^2$


 * The $33$rd square number after $1$, $4$, $36$, $121$, $144$, $256$, $\ldots$, $5184$, $5776$, $6084$, $6400$, $7056$ to be the divisor sum value of some (strictly) positive integer:
 * $7744 = \map {\sigma_1} {5061} = \map {\sigma_1} {6769} = \map {\sigma_1} {7471}$


 * The $88$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $6084$, $6241$, $6400$, $6561$, $6724$, $6889$, $7056$, $7225$, $7396$, $7569$:
 * $7744 = 88 \times 88$