Towards Math

An interesting number 37037

37037 is an interesting number. If we multiply this number by the multiples of 3, we get a sequence of numbers containing repeated digits. Let’s see.

In the sequence of repeated numbers like 1, 2, 3, 4, 5 and 6, the order of repetition is six.

37037 × 1 × 3 = 111111 = 11 × 10101

37037 × 2 × 3 = 222222 = 11 × 20202

37037 × 3 × 3 = 333333 = 11 × 30303

37037 × 4 × 3 = 444444 = 11 × 40404

37037 × 5 × 3 = 555555 = 11 × 50505

37037 × 6 × 3 = 666666 = 11 × 60606

37037 × 7 × 3 = 777777 = 11 × 70707

37037 × 8 × 3 = 888888 = 11 × 80808

37037 × 9 × 3 = 999999 = 11 × 90909

Numbers are beautiful!

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