7744

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Number

$7744$ (seven thousand, seven hundred and forty-four) is:

$2^6 \times 11^2$

The $17$th square after $1$, $4$, $9$, $16$, $25$, $36$, $49$, $64$, $81$, $121$, $144$, $225$, $441$, $484$, $676$, $1444$ which has no more than $2$ distinct digits and does not end in $0$:

$7744 = 88^2$

The $33$rd square number after $1$, $4$, $36$, $121$, $144$, $256$, $\ldots$, $5184$, $5776$, $6084$, $6400$, $7056$ to be the divisor sum value of some (strictly) positive integer:

$7744 = \map {\sigma_1} {5061} = \map {\sigma_1} {6769} = \map {\sigma_1} {7471}$

The $88$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $6084$, $6241$, $6400$, $6561$, $6724$, $6889$, $7056$, $7225$, $7396$, $7569$:

$7744 = 88 \times 88$

Also see

• Previous  ... Next: Squares with No More than 2 Distinct Digits
• Previous  ... Next: Square Numbers which are Divisor Sum values
• Previous  ... Next: Square Number

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $7744$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $7744$