The number 4725
4725 is a composite number with 24 divisors. Its prime factorisation is × × 7. Divisors (24): 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175 … 4725.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4725: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4725 is composite. Its prime factorisation is
- 3
The divisors add up to 9920; without 4725 itself that is 5195, so 4725 is abundant (5195 is more than 4725). Euler's totient φ(4725) = 2160 numbers up to 4725 share no factor with it.
- 4
The digits of 4725 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4725 = 3^{3} \times 5^{2} \times 7 \]4725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 9920 |
| Euler totient φ(n) | 2160 |
| Square | 22325625 |
| Cube | 105488578125 |
| Square root | 68.738635 (= 15√21) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 4.725 × |
4725 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and twenty-five |
| Binary (base 2) | 1001001110101 |
| Octal (base 8) | 11165 |
| Hexadecimal (base 16) | 1275 |
| Base 3 | 20111000 |
| As time | 4725 seconds = 1 h 18 min 45 s |
Is 4725 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4725 ÷ 3 = 1575) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4725 ÷ 5 = 945) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4725 ÷ 7 = 675) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4725 ÷ 9 = 525) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4725 a prime number?
No. 4725 = × × 7, so it is divisible by 3.
What are the factors of 4725?
1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725.
What is 4725 in binary?
1001001110101 (hexadecimal 1275, octal 11165).
What is the square root of 4725?
About 68.7386, exactly 15√21.
Is 4725 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4725?
4725 is a happy number: repeatedly adding the squares of its digits reaches 1.