# 1953

## 1,953 is an odd composite number composed of three prime numbers multiplied together.

What does the number 1953 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

1953 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 1953:

### 32 × 7 × 31

(3 × 3 × 7 × 31)

See below for interesting mathematical facts about the number 1953 from the Numbermatics database.

### Names of 1953

• Cardinal: 1953 can be written as One thousand, nine hundred fifty-three.

### Scientific notation

• Scientific notation: 1.953 × 103

### Factors of 1953

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 41

### Divisors of 1953

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 3328
• Sum of proper divisors (its aliquot sum) s(n): 1375
• 1953 is a deficient number, because the sum of its proper divisors (1375) is less than itself. Its deficiency is 578

### Bases of 1953

• Binary: 111101000012
• Base-36: 1I9

### Squares and roots of 1953

• 1953 squared (19532) is 3814209
• 1953 cubed (19533) is 7449150177
• The square root of 1953 is 44.1927595879
• The cube root of 1953 is 12.4997333277

### Scales and comparisons

How big is 1953?
• 1,953 seconds is equal to 32 minutes, 33 seconds.
• To count from 1 to 1,953 would take you about thirty-two 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 1953 cubic inches would be around 1 feet tall.

### Recreational maths with 1953

• 1953 backwards is 3591
• The number of decimal digits it has is: 4
• The sum of 1953's digits is 18
• More coming soon!