# 74201

## 74,201 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 74201 look like?

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

74201 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 74201:

### 74201

See below for interesting mathematical facts about the number 74201 from the Numbermatics database.

### Names of 74201

• Cardinal: 74201 can be written as Seventy-four thousand, two hundred one.

### Scientific notation

• Scientific notation: 7.4201 × 104

### Factors of 74201

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 74201

### Divisors of 74201

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 74202
• Sum of proper divisors (its aliquot sum) s(n): 1
• 74201 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 74200

### Bases of 74201

• Binary: 100100001110110012
• Base-36: 1L95

### Squares and roots of 74201

• 74201 squared (742012) is 5505788401
• 74201 cubed (742013) is 408535005142601
• The square root of 74201 is 272.3986049893
• The cube root of 74201 is 42.0213421389

### Scales and comparisons

How big is 74201?
• 74,201 seconds is equal to 20 hours, 36 minutes, 41 seconds.
• To count from 1 to 74,201 would take you about twenty hours.

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 74201 cubic inches would be around 3.5 feet tall.

### Recreational maths with 74201

• 74201 backwards is 10247
• 74201 is a twin prime! Its twin is 74203
• The number of decimal digits it has is: 5
• The sum of 74201's digits is 14
• More coming soon!