# 1601

## 1,601 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 1601 look like?

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

1601 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1601:

### 1601

See below for interesting mathematical facts about the number 1601 from the Numbermatics database.

### Names of 1601

• Cardinal: 1601 can be written as One thousand, six hundred one.

### Scientific notation

• Scientific notation: 1.601 × 103

### Factors of 1601

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1601

### Divisors of 1601

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1602
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1601 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1600

### Bases of 1601

• Binary: 110010000012
• Base-36: 18H

### Squares and roots of 1601

• 1601 squared (16012) is 2563201
• 1601 cubed (16013) is 4103684801
• The square root of 1601 is 40.0124980475
• The cube root of 1601 is 11.6985071269

### Scales and comparisons

How big is 1601?
• 1,601 seconds is equal to 26 minutes, 41 seconds.
• To count from 1 to 1,601 would take you about twenty-six 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 1601 cubic inches would be around 1 feet tall.

### Recreational maths with 1601

• 1601 backwards is 1061
• The number of decimal digits it has is: 4
• The sum of 1601's digits is 8
• More coming soon!