In Mathematics
- 363 is the sum of nine consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59)
- It is an odd, composite, positive, real integer, composed of a prime (3) and a prime squared (112).
- The 363rd day in a year is 29 December (28 December in leap years). Many places are open 363 days of the year.
- 363 is a palindromic number in bases 3, 10, 11 and 32.
- Any subset of its digits is divisible by three.
- 363 is a repdigit (BB) in base 32.
- 363 is a 122-gonal number.
- 363 is a deficient number.
- The Mertens function returns 0
- 363 is the sum of 5 consecutive powers of three (3 + 9 + 27 + 81 + 243) deficient number.
- 363 cubits is the solution given to Rhind Mathematical Papyrus question 50 - find the side length of an octagon with the same area as a circle 9 khet in diameter .
- 363 can be expressed as the sum of three squares 4 different ways: 112 + 112 + 112, 52 + 72 + 172, 12 + 12 + 192, and 132 + 132 + 52.
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Famous quotes containing the word mathematics:
“I must study politics and war that my sons may have liberty to study mathematics and philosophy.”
—John Adams (1735–1826)
“Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.”
—Simone Weil (1909–1943)