# 601

## 601 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 601 look like?

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

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

## Prime factorization of 601:

### 601

See below for interesting mathematical facts about the number 601 from the Numbermatics database.

### Names of 601

• Cardinal: 601 can be written as Six hundred one.

### Scientific notation

• Scientific notation: 6.01 × 102

### Factors of 601

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 601

### Divisors of 601

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 602
• Sum of proper divisors (its aliquot sum) s(n): 1
• 601 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 600

### Bases of 601

• Binary: 10010110012
• Base-36: GP

### Squares and roots of 601

• 601 squared (6012) is 361201
• 601 cubed (6013) is 217081801
• The square root of 601 is 24.5153013443
• The cube root of 601 is 8.4390097891

### Scales and comparisons

How big is 601?
• 601 seconds is equal to 10 minutes, 1 second.
• To count from 1 to 601 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 601 cubic inches would be around 0.7 feet tall.

### Recreational maths with 601

• 601 backwards is 106
• The number of decimal digits it has is: 3
• The sum of 601's digits is 7
• More coming soon!