The number 4500
4500 is a composite number with 36 divisors. Its prime factorisation is × × . Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45 … 4500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4500: a Harshad number: divisible by its digit sum 9.
- 2
4500 is composite. Its prime factorisation is
- 3
The divisors add up to 14196; without 4500 itself that is 9696, so 4500 is abundant (9696 is more than 4500). Euler's totient φ(4500) = 1200 numbers up to 4500 share no factor with it.
- 4
The digits of 4500 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 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4500 = 2^{2} \times 3^{2} \times 5^{3} \]4500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 14196 |
| Euler totient φ(n) | 1200 |
| Square | 20250000 |
| Cube | 91125000000 |
| Square root | 67.082039 (= 30√5) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 4.5 × |
4500 in other forms
| Form | Value |
|---|---|
| In words | four thousand five hundred |
| Binary (base 2) | 1000110010100 |
| Octal (base 8) | 10624 |
| Hexadecimal (base 16) | 1194 |
| Base 3 | 20011200 |
| As time | 4500 seconds = 1 h 15 min 0 s |
Is 4500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4500 ÷ 2 = 2250) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4500 ÷ 3 = 1500) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4500 ÷ 4 = 1125) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4500 ÷ 5 = 900) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4500 ÷ 6 = 750) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4500 ÷ 9 = 500) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (4500 ÷ 10 = 450) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4500 ÷ 12 = 375) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4500 a prime number?
No. 4500 = × × , so it is divisible by 2.
What are the factors of 4500?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500.
What is 4500 in binary?
1000110010100 (hexadecimal 1194, octal 10624).
What is the square root of 4500?
About 67.0820, exactly 30√5.
Is 4500 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 4500?
4500 is a Harshad number: divisible by its digit sum 9.