1444

From ProofWiki
Jump to navigation Jump to search

Previous  ... Next

Number

$1444$ (one thousand four hundred and forty-four) is:

$2^2 \times 19^2$


The $5$th square after $49$, $169$, $361$, $1225$ whose decimal representation can be split into two parts which are each themselves square:
$1444 = 38^2$; $144 = 12^2$, $4 = 2^2$


The $16$th square after $1$, $4$, $9$, $16$, $25$, $36$, $49$, $64$, $81$, $121$, $144$, $225$, $441$, $484$, $676$ which has no more than $2$ distinct digits and does not end in $0$:
$1444 = 38^2$


The $34$th positive integer which cannot be expressed as the sum of a square and a prime:
$1$, $10$, $25$, $34$, $58$, $64$, $85$, $\ldots$, $706$, $730$, $771$, $784$, $841$, $1024$, $1089$, $1225$, $1255$, $1351$, $1414$, $1444$, $\ldots$


The $38$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $625$, $676$, $729$, $784$, $841$, $900$, $961$, $1024$, $1089$, $1156$, $1225$, $1296$, $1369$:
$1444 = 38 \times 38$


Also see


Sources