1306
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Number
$1306$ (one thousand three hundred and six) is:
- $2 \times 653$
- The $5$th number after $1$, $9$, $20$, $180$ whose square has a divisor sum which is itself square:
- $\map {\sigma_1} {1306^2} = 1729^2$
- The $16$th number after $0$, $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $89$, $135$, $175$, $518$, $598$ which is the sum of the increasing powers of its digits taken in order:
- $1^1 + 3^2 + 0^3 + 6^4 = 1306$