282

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Number

$282$ (two hundred and eighty-two) is:

$2 \times 3 \times 47$

The $2$nd of a triplet of consecutive integers which have the property that if their digits are multiplied, and the process repeated on the result until only $1$ digit remains, that final digit is the same for all three:

$2 \times 8 \times 2 = 32$; $3 \times 2 = 6$

The $15$th number after $1$, $3$, $22$, $66$, $70$, $81$, $94$, $115$, $119$, $170$, $210$, $214$, $217$, $265$ whose divisor sum is square:

$\map {\sigma_1} {282} = 576 = 24^2$

The $29$th sphenic number after $30$, $42$, $66$, $70$, $\ldots$, $182$, $186$, $190$, $195$, $222$, $230$, $231$, $246$, $255$, $258$, $266$, $273$:

$282 = 2 \times 3 \times 47$

Also see

• Previous  ... Next: Numbers whose Divisor Sum is Square
• Previous  ... Next: Sphenic Number
• Previous  ... Next: Consecutive Triple of Repeated Digit-Products

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $281$