3136

Number
$3136$ (three thousand, one hundred and thirty-six) is:


 * $2^6 \times 7^2$


 * The $21$st square number after $1$, $4$, $36$, $121$, $144$, $256$, $\ldots$, $1936$, $2304$, $2704$, $2916$ to be the $\sigma$ (sigma) value of some (strictly) positive integer:
 * $3136 = \map \sigma {1092} = \map \sigma {1612} = \map \sigma {2037} = \map \sigma {2899} = \map \sigma {3007}$


 * The $46$th positive integer which cannot be expressed as the sum of a square and a prime:
 * $1$, $10$, $25$, $34$, $58$, $64$, $85$, $\ldots$, $2209$, $2304$, $2500$, $2809$, $2986$, $3136$, $\ldots$


 * The $56$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $1936$, $2025$, $2116$, $2209$, $2304$, $2401$, $2500$, $2601$, $2704$, $2809$, $2916$, $3025$:
 * $3136 = 56 \times 56$