All Odd Digits

1-3-5-7-9 — every last one of them.

A number of two or more digits where every digit is odd (1/3/5/7/9), like 39, 13579 or 777777.

19,525
Exact matches
1 in 51
Odds
1.95%
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114 EP
Base EP

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Odd digits have no leading-zero awkwardness: every digit is a clean choice of 5, so k-digit all-odd numbers number exactly 5^k — 25, 125, 625, 3,125, 15,625 — totaling 19,525, about 1.95%.

That makes all-odd a full 25% more common than all-even (19,525 vs 15,620), purely because 0 can’t lead on the even side. Same rule shape, different counts — the best lesson in how constraints write themselves into frequencies.

There are 15,625 six-digit all-odd numbers, under 2% of all six-digit numbers. Among them, 13579 uses each odd digit once while 777777 uses one odd digit six times — both extremes qualify.

Smallest examples

Notable examples

13,579 All five odd digits appear once each — also All Distinct.
777,777 All-odd stacked with solid, quad, palindrome — and a Balanced number too.

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