# 421

## 421 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 421 look like?

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

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

## Prime factorization of 421:

### 421

See below for interesting mathematical facts about the number 421 from the Numbermatics database.

### Names of 421

• Cardinal: 421 can be written as Four hundred twenty-one.

### Scientific notation

• Scientific notation: 4.21 × 102

### Factors of 421

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 421

### Divisors of 421

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 422
• Sum of proper divisors (its aliquot sum) s(n): 1
• 421 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 420

### Bases of 421

• Binary: 1101001012
• Base-36: BP

### Squares and roots of 421

• 421 squared (4212) is 177241
• 421 cubed (4213) is 74618461
• The square root of 421 is 20.5182845287
• The cube root of 421 is 7.4948112259

### Scales and comparisons

How big is 421?
• 421 seconds is equal to 7 minutes, 1 second.
• To count from 1 to 421 would take you about three 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 421 cubic inches would be around 0.6 feet tall.

### Recreational maths with 421

• 421 backwards is 124
• The number of decimal digits it has is: 3
• The sum of 421's digits is 7
• More coming soon!