# 653

## 653 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 653 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

653 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 653:

### 653

See below for interesting mathematical facts about the number 653 from the Numbermatics database.

### Names of 653

• Cardinal: 653 can be written as Six hundred fifty-three.

### Scientific notation

• Scientific notation: 6.53 × 102

### Factors of 653

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 653

### Divisors of 653

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 654
• Sum of proper divisors (its aliquot sum) s(n): 1
• 653 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 652

### Bases of 653

• Binary: 10100011012
• Base-36: I5

### Squares and roots of 653

• 653 squared (6532) is 426409
• 653 cubed (6533) is 278445077
• The square root of 653 is 25.5538646783
• The cube root of 653 is 8.6756973587

### Scales and comparisons

How big is 653?
• 653 seconds is equal to 10 minutes, 53 seconds.
• To count from 1 to 653 would take you about five 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 653 cubic inches would be around 0.7 feet tall.

### Recreational maths with 653

• 653 backwards is 356
• The number of decimal digits it has is: 3
• The sum of 653's digits is 14
• More coming soon!