The Number Hunt

This month’s puzzles

1. The three primes. 193333 is the product of three primes. What is the sum of those three primes?
2. Master sum. How many six-digit numbers made only of the digits 1, 9 and 3 — using each of them at least once — have a digit sum of exactly 22? (193333 is one of them.)
3. Base jump. Write 3333 in hexadecimal.
4. Tiebreaker. In 50 words or fewer: what would you build on a website called 193333?

Hint: the Number Explorer is allowed. Show your working for full credit.

Prizes

Each month’s winner receives a featured winner spotlight on 193333 and a premium personalised Number Blueprint. When the month’s prize pool is funded by supporters or sponsors, an additional reward is listed in the notice above before entries close. Contribute to the prize pool or sponsor a month.

Official rules (summary)

• No purchase necessary. Entry is free; donations do not improve your chances.
• Open worldwide to individuals aged 18+ (or with parental consent where permitted). Void where prohibited by law.
• This is a contest of skill. Entries are ranked by number of correct answers; ties are decided by the judges’ assessment of the tiebreaker for originality and clarity.
• One entry per person per month. Automated or duplicate entries are disqualified.
• Winners are contacted by email and must reply within 14 days or an alternate winner is chosen.
• Prizes are non-transferable; where a listed reward is unavailable, one of equal or greater value is substituted.
• We use entrant details only to run the contest. See our privacy policy.