# 431

## 431 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 431 look like?

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

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

## Prime factorization of 431:

### 431

See below for interesting mathematical facts about the number 431 from the Numbermatics database.

### Names of 431

• Cardinal: 431 can be written as Four hundred thirty-one.

### Scientific notation

• Scientific notation: 4.31 × 102

### Factors of 431

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 431

### Divisors of 431

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 432
• Sum of proper divisors (its aliquot sum) s(n): 1
• 431 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 430

### Bases of 431

• Binary: 1101011112
• Base-36: BZ

### Squares and roots of 431

• 431 squared (4312) is 185761
• 431 cubed (4313) is 80062991
• The square root of 431 is 20.7605394921
• The cube root of 431 is 7.5536888251

### Scales and comparisons

How big is 431?
• 431 seconds is equal to 7 minutes, 11 seconds.
• To count from 1 to 431 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 431 cubic inches would be around 0.6 feet tall.

### Recreational maths with 431

• 431 backwards is 134
• 431 is a twin prime! Its twin is 433
• The number of decimal digits it has is: 3
• The sum of 431's digits is 8
• More coming soon!