# 1253

## 1,253 is an odd composite number composed of two prime numbers multiplied together.

What does the number 1253 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

1253 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

## Prime factorization of 1253:

### 7 × 179

See below for interesting mathematical facts about the number 1253 from the Numbermatics database.

### Names of 1253

• Cardinal: 1253 can be written as One thousand, two hundred fifty-three.

### Scientific notation

• Scientific notation: 1.253 × 103

### Factors of 1253

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 186

### Divisors of 1253

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 1440
• Sum of proper divisors (its aliquot sum) s(n): 187
• 1253 is a deficient number, because the sum of its proper divisors (187) is less than itself. Its deficiency is 1066

### Bases of 1253

• Binary: 100111001012
• Base-36: YT

### Squares and roots of 1253

• 1253 squared (12532) is 1570009
• 1253 cubed (12533) is 1967221277
• The square root of 1253 is 35.3977400409
• The cube root of 1253 is 10.7807843039

### Scales and comparisons

How big is 1253?
• 1,253 seconds is equal to 20 minutes, 53 seconds.
• To count from 1 to 1,253 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 1253 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1253

• 1253 backwards is 3521
• The number of decimal digits it has is: 4
• The sum of 1253's digits is 11
• More coming soon!

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