Mathematical Meanderings
Wednesday, 21 May 2025
First Fours, Threes and Twos of a Kind
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The first thing we notice about \( \textbf{27807}\) is its factorisation:$$27807 = 3 \times 13 \times 23 \times 31$$This number has four dis...
Tuesday, 20 May 2025
Revisiting Reverse and Add
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Numbers \(n\) belonging to OEIS A063048 have the property that the Reverse and Add! trajectory of \(n\) (presumably) does not reach a palin...
Monday, 19 May 2025
The 17x + 1 Map Revisited
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It's been a while, over seven years in fact since I last mentioned the 17\(x\) + 1 map in an eponymous post in March of 2018. As I expl...
Thursday, 15 May 2025
Revisiting Fibodiv and Repfigit Numbers
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On the 21st January 2024, I made a post titled Fibodiv Numbers and today I'm revisiting this topic because \( \textbf{27801} \), the n...
Wednesday, 14 May 2025
Some Interesting Integer Ratios
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The number \( \textbf{27800} \) (my diurnal age today) has the following divisors: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 139, 200, 278, 55...
Tuesday, 13 May 2025
An Interesting Sequence of Primes
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Consider the sequence of primes and the products of their digits (POD). As the primes increase, these products will reach record values as c...
Saturday, 10 May 2025
An Interesting Looping Digit Sequence
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A paucity of information about a number always challenges me to find something interesting about the number. Such was the case with the numb...
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