# 1258

## 1,258 is an even composite number composed of three prime numbers multiplied together.

What does the number 1258 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

1258 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight divisors.

## Prime factorization of 1258:

### 2 × 17 × 37

See below for interesting mathematical facts about the number 1258 from the Numbermatics database.

### Names of 1258

• Cardinal: 1258 can be written as One thousand, two hundred fifty-eight.

### Scientific notation

• Scientific notation: 1.258 × 103

### Factors of 1258

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 56

### Divisors of 1258

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 2052
• Sum of proper divisors (its aliquot sum) s(n): 794
• 1258 is a deficient number, because the sum of its proper divisors (794) is less than itself. Its deficiency is 464

### Bases of 1258

• Binary: 100111010102
• Base-36: YY

### Squares and roots of 1258

• 1258 squared (12582) is 1582564
• 1258 cubed (12583) is 1990865512
• The square root of 1258 is 35.4682957019
• The cube root of 1258 is 10.7951052351

### Scales and comparisons

How big is 1258?
• 1,258 seconds is equal to 20 minutes, 58 seconds.
• To count from 1 to 1,258 would take you about twenty 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 1258 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1258

• 1258 backwards is 8521
• The number of decimal digits it has is: 4
• The sum of 1258's digits is 16
• More coming soon!