# 2023

## 2,023 is an odd composite number composed of two prime numbers multiplied together.

What does the number 2023 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

2023 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of six divisors.

## Prime factorization of 2023:

### 7 × 172

(7 × 17 × 17)

See below for interesting mathematical facts about the number 2023 from the Numbermatics database.

### Names of 2023

• Cardinal: 2023 can be written as Two thousand and twenty-three.

### Scientific notation

• Scientific notation: 2.023 × 103

### Factors of 2023

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 24

### Divisors of 2023

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 2456
• Sum of proper divisors (its aliquot sum) s(n): 433
• 2023 is a deficient number, because the sum of its proper divisors (433) is less than itself. Its deficiency is 1590

### Bases of 2023

• Binary: 111111001112
• Base-36: 1K7

### Squares and roots of 2023

• 2023 squared (20232) is 4092529
• 2023 cubed (20233) is 8279186167
• The square root of 2023 is 44.9777722881
• The cube root of 2023 is 12.6473235079

### Scales and comparisons

How big is 2023?
• 2,023 seconds is equal to 33 minutes, 43 seconds.
• To count from 1 to 2,023 would take you about thirty-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 2023 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2023

• 2023 backwards is 3202
• 2023 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2023's digits is 7
• More coming soon!