Tag Archives: Numbers

Curious Number Substrings

If you add all the substrings of 891, the sum is 198, which is the reverse of 891: 891 → 8 + 9 + 1 + 89 + 91 = 198 This is the only 3-digit number that has this … Continue reading

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What’s Next?: An Unorthodox Number Sequence

0, 0, 0, 0, 4, 9, 5, 1, 1, 0, 55, 55, 1, 0, 1, 9, ? What is the next number in the sequence?

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Curious Number Patterns #5: 9th Power Pattern, Münchhausen Numbers & 1729

To the Ninth Power 59 + 39 + 49 + 49 + 99 + 49 + 89 + 39 + 69 = 534494836 Münchhausen Numbers Münchhausen number is a number equal to the sum of its nonzero digits raised to each digit’s power. There are only two of these numbers … Continue reading

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Curious Number Patterns #3

Palindrome and Prime 93639 (a palindromic number) plus the sum of its prime factors is equal to 93683, which is a prime number: 93683 = 93639 + 3 + 7 + 7 + 7 + 7 + 13 Interestingly, there … Continue reading

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Can Eight 8’s Produce 1000?

My previous post “Can Two 2’s Produce 5?” showed a way to produce 5 using only two 2’s and any mathematical operations. Now, here’s another similar puzzle. Using eight 8’s and any mathematical operations and symbols, can you make them … Continue reading

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