33 (number)
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33 is a natural number that follows 32 and precedes 34. It is written with two digits: 3 in the tens place and 3 in the ones place. In Roman numerals it is written XXXIII.
In mathematics, 33 is a composite number—it has divisors other than 1 and itself. It is also a palindrome in the decimal number system, reading the same forwards and backwards.
Mathematical properties
The divisors of 33 are 1, 3, 11, and 33. Its prime factorization is 3 × 11. The sum of its proper divisors—1 + 3 + 11—equals 15, which is less than 33; therefore 33 is a deficient number. It is also an odd number, not divisible by 2.
33 belongs to the class of numbers known as pentagonal numbers—numbers that can be arranged in the shape of a pentagon in a pattern that expands in sequence.
General use
33 is used in various numbering systems: road designations, sports numbers, and product classification. It is also the atomic number of arsenic on the periodic table. In the international telephone system, +33 is the country code for France.
Cultural and religious significance
In various cultures and religions, 33 holds symbolic meaning. For example, some Christian traditions associate it with the age of Jesus at his death. In Islam, some forms of prayer beads divide the count into three groups of 33. Such associations are culturally grounded, not mathematical properties.