1296
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Number
$1296$ (one thousand two hundred and ninety-six) is:
- $2^4 \times 3^4$
- The $4$th power of $6$ after $(1)$, $6$, $36$, $216$:
- $1296 = 6^4$
- The $6$th fourth power after $1$, $16$, $81$, $256$, $625$:
- $1296 = 6 \times 6 \times 6 \times 6$
- The $14$th square number after $1$, $4$, $36$, $121$, $144$, $256$, $324$, $400$, $576$, $784$, $900$, $961$, $1024$ to be the divisor sum value of some (strictly) positive integer:
- $1296 = \map {\sigma_1} {510}$
- The $36$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $625$, $676$, $729$, $784$, $841$, $900$, $961$, $1024$, $1089$, $1156$, $1225$:
- $1296 = 36 \times 36$
- The $45$th Zuckerman number after $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $11$, $12$, $\ldots$, $1111$, $1112$, $1113$, $1115$, $1116$, $1131$, $1176$, $1184$, $1197$, $1212$:
- $1296 = 12 \times 108 = 12 \times \paren {1 \times 2 \times 9 \times 6}$