3136

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


 * $2^6 \times 7^2$


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


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