 | This article needs additional citations for verification .(August 2022) |
| ||||
|---|---|---|---|---|
| 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 | |||
| Octal | 12658 | |||
| Duodecimal | 49912 | |||
| Hexadecimal | 2B516 | |||
693 (six hundred [and] ninety-three) is the natural number following 692 and preceding 694.
693 has twelve divisors: 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, and 693. Thus, 693 is tied with 315 for the highest number of divisors for any odd natural number below 900. The smallest positive odd integer with more divisors is 945, which has 16 divisors. Consequently, 945 is also the smallest odd abundant number, having an abundancy index of 1920/945 ≈ 2.03175.
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 lowest common multiple of 7, 9, and 11. Multiplying 693 by 5 gives 3465, the smallest positive integer divisible by 3, 5, 7, 9, and 11. [1]
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]
A palindromic number is a number that remains the same when its digits are reversed. In other words, it has reflectional symmetry across a vertical axis. The term palindromic is derived from palindrome, which refers to a word whose spelling is unchanged when its letters are reversed. The first 30 palindromic numbers are:
In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system. The word is a portmanteau of repeated and digit. Examples are 11, 666, 4444, and 999999. All repdigits are palindromic numbers and are multiples of repunits. Other well-known repdigits include the repunit primes and in particular the Mersenne primes.
The tables contain the prime factorization of the natural numbers from 1 to 1000.
In number theory, an abundant number or excessive number is a number for which the sum of its proper divisors is greater than the number. The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total of 16. The amount by which the sum exceeds the number is the abundance. The number 12 has an abundance of 4, for example.
69 (sixty-nine) is the natural number following 68 and preceding 70.
79 (seventy-nine) is the natural number following 78 and preceding 80.
1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.
700 is the natural number following 699 and preceding 701.
2000 is a natural number following 1999 and preceding 2001.
10,000 is the natural number following 9,999 and preceding 10,001.
One million (1,000,000), or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The word is derived from the early Italian millione, from mille, "thousand", plus the augmentative suffix -one.
1,000,000,000 is the natural number following 999,999,999 and preceding 1,000,000,001. With a number, "billion" can be abbreviated as b, bil or bn.
100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105.
225 is the natural number following 224 and preceding 226.
In number theory, friendly numbers are two or more natural numbers with a common abundancy index, the ratio between the sum of divisors of a number and the number itself. Two numbers with the same "abundancy" form a friendly pair; n numbers with the same "abundancy" form a friendly n-tuple.
270 is the natural number following 269 and preceding 271.
20,000 is the natural number that comes after 19,999 and before 20,001.
50,000 is the natural number that comes after 49,999 and before 50,001 .
99 (ninety-nine) is the natural number following 98 and preceding 100.
840 is the natural number following 839 and preceding 841.