# 2025

## 2,025 is an odd composite number composed of two prime numbers multiplied together.

What does the number 2025 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 15 divisors.

2025 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of fifteen divisors.

## Prime factorization of 2025:

### 34 × 52

(3 × 3 × 3 × 3 × 5 × 5)

See below for interesting mathematical facts about the number 2025 from the Numbermatics database.

### Names of 2025

• Cardinal: 2025 can be written as Two thousand and twenty-five.

### Scientific notation

• Scientific notation: 2.025 × 103

### Factors of 2025

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 6
• Sum of prime factors: 8

### Divisors of 2025

• Number of divisors d(n): 15
• Complete list of divisors:
• Sum of all divisors σ(n): 3751
• Sum of proper divisors (its aliquot sum) s(n): 1726
• 2025 is a deficient number, because the sum of its proper divisors (1726) is less than itself. Its deficiency is 299

### Bases of 2025

• Binary: 111111010012
• Base-36: 1K9

### Squares and roots of 2025

• 2025 squared (20252) is 4100625
• 2025 cubed (20253) is 8303765625
• 2025 is a perfect square number. Its square root is 45
• The cube root of 2025 is 12.6514899795

### Scales and comparisons

How big is 2025?
• 2,025 seconds is equal to 33 minutes, 45 seconds.
• To count from 1 to 2,025 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 2025 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2025

• 2025 backwards is 5202
• 2025 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 2025's digits is 9
• More coming soon!