# 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 $\sigma$ value which is itself square:

- $\map \sigma {1306^2} = 1729^2$

- 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:
- $1^1 + 3^2 + 0^3 + 6^4 = 1306$