The number 72747
72747 is a composite number with 12 divisors. Its prime factorisation is × 59 × 137. Divisors (12): 1, 3, 9, 59, 137, 177, 411, 531, 1233, 8083, 24249, 72747.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72747: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72747 is composite. Its prime factorisation is
- 3
The divisors add up to 107640; without 72747 itself that is 34893, so 72747 is deficient (34893 is less than 72747). Euler's totient φ(72747) = 47328 numbers up to 72747 share no factor with it.
- 4
The digits of 72747 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72747 = 3^{2} \times 59 \times 137 \]72747 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 107640 |
| Euler totient φ(n) | 47328 |
| Square | 5292126009 |
| Cube | 384986290776723 |
| Square root | 269.716518 (= 3√8083) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2747 × |
72747 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and forty-seven |
| Binary (base 2) | 10001110000101011 |
| Octal (base 8) | 216053 |
| Hexadecimal (base 16) | 11C2B |
| Base 3 | 10200210100 |
| As time | 72747 seconds = 20 h 12 min 27 s |
Is 72747 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 (72747 ÷ 3 = 24249) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (72747 ÷ 9 = 8083) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72747 a prime number?
No. 72747 = × 59 × 137, so it is divisible by 3.
What are the factors of 72747?
1, 3, 9, 59, 137, 177, 411, 531, 1233, 8083, 24249, 72747.
What is 72747 in binary?
10001110000101011 (hexadecimal 11C2B, octal 216053).
What is the square root of 72747?
About 269.7165, exactly 3√8083.
Is 72747 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 72747?
72747 is a happy number: repeatedly adding the squares of its digits reaches 1.