The number 4050
4050 is a composite number with 30 divisors. Its prime factorisation is 2 × × . Divisors (30): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75 … 4050.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4050: a Harshad number: divisible by its digit sum 9.
- 2
4050 is composite. Its prime factorisation is
- 3
The divisors add up to 11253; without 4050 itself that is 7203, so 4050 is abundant (7203 is more than 4050). Euler's totient φ(4050) = 1080 numbers up to 4050 share no factor with it.
- 4
The digits of 4050 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4050 = 2 \times 3^{4} \times 5^{2} \]4050 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 11253 |
| Euler totient φ(n) | 1080 |
| Square | 16402500 |
| Cube | 66430125000 |
| Square root | 63.639610 (= 45√2) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 157 |
| Scientific notation | 4.05 × |
4050 in other forms
| Form | Value |
|---|---|
| In words | four thousand and fifty |
| Binary (base 2) | 111111010010 |
| Octal (base 8) | 7722 |
| Hexadecimal (base 16) | FD2 |
| Base 3 | 12120000 |
| As time | 4050 seconds = 1 h 7 min 30 s |
Is 4050 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4050 ÷ 2 = 2025) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4050 ÷ 3 = 1350) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4050 ÷ 5 = 810) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4050 ÷ 6 = 675) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4050 ÷ 9 = 450) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4050 ÷ 10 = 405) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4050 a prime number?
No. 4050 = 2 × × , so it is divisible by 2.
What are the factors of 4050?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050.
What is 4050 in binary?
111111010010 (hexadecimal FD2, octal 7722).
What is the square root of 4050?
About 63.6396, exactly 45√2.
Is 4050 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 4050?
4050 is a Harshad number: divisible by its digit sum 9.