1444
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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
- Previous ... Next: Squares with No More than 2 Distinct Digits
- Previous ... Next: Squares whose Digits can be Separated into 2 other Squares
- Previous ... Next: Square Number
- Previous ... Next: Numbers not Sum of Square and Prime
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $1444$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $1444$