693 (number)
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Cardinal | six hundred ninety-three | |||
Ordinal | 693rd (six hundred ninety-third) | |||
Factorization | 32 × 7 × 11 | |||
Greek numeral | ΧϞΓ´ | |||
Roman numeral | DCXCIII | |||
Binary | 10101101012 | |||
Ternary | 2212003 | |||
Senary | 31136 | |||
Octal | 12658 | |||
Duodecimal | 49912 | |||
Hexadecimal | 2B516 |
693 (six hundred [and] ninety-three) is the
In mathematics
693 has twelve divisors: 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, and 693. Thus, 693 is tied with
693 appears as the first three digits after the decimal point in the decimal form for the natural logarithm of 2. To 10 digits, this number is 0.6931471805. As a result, if an event has a constant probability of 0.1% of occurring, 693 is the smallest number of trials that must be performed for there to be at least a 50% chance that the event occurs at least once. More generally, for any probability p, the probability that the event occurs at least once in a sample of n items, assuming the items are independent, is given by the following formula:
1 − (1 − p)n
For p = 10−3 = 0.001, plugging in n = 692 gives, to four decimal places, 0.4996, while n = 693 yields 0.5001.
693 is the
693 is a palindrome in bases 32, 62, 76, 98, 230, and 692. It is also a palindrome in binary: 1010110101.
The reciprocal of 693 has a period of six: 1/693 = 0.001443.
693 is a triangular matchstick number.[2]
References
- ^ "Least common multiple of 1,3,5,...,2n-1". OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A045943". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-31.