First Digit

Submitted by stratosfyre 6 years, 8 months ago

How many integer powers of 2 less than 2^1337 have a first digit of 4?

Note: first digit means the leading digit, not the units digit. So 2^6 = 64 has a first digit of 6, not 4.

I'll tell you this ahead of time:

2^1337 = 2999882211...4204009472 and has 403 digits.

Attempt Info

  • Correct Attempts: 16
  • Incorrect Attempts: 31
  • Ungraded Attempts: 0
  • Total Attempts: 47

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