The number 74727
74727 is a composite number with 18 divisors. Its prime factorisation is × × 23. Divisors (18): 1, 3, 9, 19, 23, 57, 69, 171, 207, 361, 437, 1083, 1311, 3249, 3933, 8303 … 74727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74727: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74727 is composite. Its prime factorisation is
- 3
The divisors add up to 118872; without 74727 itself that is 44145, so 74727 is deficient (44145 is less than 74727). Euler's totient φ(74727) = 45144 numbers up to 74727 share no factor with it.
- 4
The digits of 74727 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74727 = 3^{2} \times 19^{2} \times 23 \]74727 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 118872 |
| Euler totient φ(n) | 45144 |
| Square | 5584124529 |
| Cube | 417284873678583 |
| Square root | 273.362397 (= 57√23) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.4727 × |
74727 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and twenty-seven |
| Binary (base 2) | 10010001111100111 |
| Octal (base 8) | 221747 |
| Hexadecimal (base 16) | 123E7 |
| Base 3 | 10210111200 |
| As time | 74727 seconds = 20 h 45 min 27 s |
Is 74727 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 (74727 ÷ 3 = 24909) | 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 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74727 ÷ 9 = 8303) | 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 74727 a prime number?
No. 74727 = × × 23, so it is divisible by 3.
What are the factors of 74727?
1, 3, 9, 19, 23, 57, 69, 171, 207, 361, 437, 1083, 1311, 3249, 3933, 8303, 24909, 74727.
What is 74727 in binary?
10010001111100111 (hexadecimal 123E7, octal 221747).
What is the square root of 74727?
About 273.3624, exactly 57√23.
Is 74727 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 74727?
74727 is a happy number: repeatedly adding the squares of its digits reaches 1.