333,667

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Number

$333 \, 667$ (three hundred and thirty-three thousand, six hundred and sixty-seven) is:

The $28 \, 693$rd prime number

Its product with certain integers exhibits patterns:

$333 \, 667 \times 296 = 98 \, 765 \, 432$

$333 \, 667 \times 1113 = 371 \, 371 \, 371$

$333 \, 667 \times 2223 = 741 \, 741 \, 741$

Its square is a sorted number:

$333 \, 667^2 = 111 \, 333 \, 666 \, 889$

The $7$th unique period prime after $3$, $11$, $37$, $101$, $9091$, $9901$: its period is $9$:

$\dfrac 1 {333 \, 667} = 0 \cdotp \dot 00000 \, 299 \dot 7$

Also see

• Properties of Family of 333,667 and Related Numbers
• 333,667 is Unique Period Prime with Period 9

• Previous  ... Next: Unique Period Prime
• Previous  ... Next: Prime Number

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $333,667$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $333,667$