# 1302

## 1,302 is an even composite number composed of four prime numbers multiplied together.

What does the number 1302 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

1302 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 1302:

### 2 × 3 × 7 × 31

See below for interesting mathematical facts about the number 1302 from the Numbermatics database.

### Names of 1302

• Cardinal: 1302 can be written as One thousand, three hundred two.

### Scientific notation

• Scientific notation: 1.302 × 103

### Factors of 1302

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 43

### Divisors of 1302

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 3072
• Sum of proper divisors (its aliquot sum) s(n): 1770
• 1302 is an abundant number, because the sum of its proper divisors (1770) is greater than itself. Its abundance is 468

### Bases of 1302

• Binary: 101000101102
• Base-36: 106

### Squares and roots of 1302

• 1302 squared (13022) is 1695204
• 1302 cubed (13023) is 2207155608
• The square root of 1302 is 36.0832371053
• The cube root of 1302 is 10.9195228493

### Scales and comparisons

How big is 1302?
• 1,302 seconds is equal to 21 minutes, 42 seconds.
• To count from 1 to 1,302 would take you about twenty-one 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 1302 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1302

• 1302 backwards is 2031
• 1302 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1302's digits is 6
• More coming soon!