Benford’s Law Explained: Why We Love Round Numbers and What Math Says About It

80,000 Subscribers — A Milestone Worth Questioning

80,000!

Yesterday our YouTube channel hit 80,000 subscribers. On one hand, 80,000 people who are genuinely interested in mathematics — that’s already something! Thank you for watching.

On the other hand, I’ve never understood why we feel compelled to celebrate round numbers specifically.

Why Round Numbers Feel Special — and What Benford’s Law Has to Say

Anniversaries, meeting times, sums of money, distances — people are deeply drawn to whole numbers, and even more so to multiples of 10, 100, 1,000, and so on. With every additional zero, the excitement seems to multiply. But the number 80,000 is no different from 80,091 or 80,152. This probably deserves its own dedicated video, because numbers are genuinely unequal in ways that aren’t obvious.

For example, among all the numbers we encounter in the world around us, those beginning with the digit 1 appear far more frequently than any other — and that’s thanks to Benford’s Law. On top of that, a whole range of psychological, behavioral, and cultural factors shape why we love round numbers so much.

Benford’s Law, Round Numbers, and a Mathematical Celebration

P.S. To give 80,000 at least some genuine mathematical meaning and find a real reason to celebrate, I had to work for it. Finding a good approximation using only π and e turns out to be surprisingly tricky — but it worked out in the end!