# 1998

## 1,998 is an even composite number composed of three prime numbers multiplied together.

What does the number 1998 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

1998 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 1998:

### 2 × 33 × 37

(2 × 3 × 3 × 3 × 37)

See below for interesting mathematical facts about the number 1998 from the Numbermatics database.

### Names of 1998

• Cardinal: 1998 can be written as One thousand, nine hundred ninety-eight.

### Scientific notation

• Scientific notation: 1.998 × 103

### Factors of 1998

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 42

### Divisors of 1998

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 4560
• Sum of proper divisors (its aliquot sum) s(n): 2562
• 1998 is an abundant number, because the sum of its proper divisors (2562) is greater than itself. Its abundance is 564

### Bases of 1998

• Binary: 111110011102
• Hexadecimal: 0x7CE
• Base-36: 1JI

### Squares and roots of 1998

• 1998 squared (19982) is 3992004
• 1998 cubed (19983) is 7976023992
• The square root of 1998 is 44.6989932773
• The cube root of 1998 is 12.5950093615

### Scales and comparisons

How big is 1998?
• 1,998 seconds is equal to 33 minutes, 18 seconds.
• To count from 1 to 1,998 would take you about thirty-three minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 1998 cubic inches would be around 1 feet tall.

### Recreational maths with 1998

• 1998 backwards is 8991
• 1998 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1998's digits is 27
• More coming soon!

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The information we have on file for 1998 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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