The number 73767
73767 is a composite number with 8 divisors. Its prime factorisation is 3 × 67 × 367. Divisors (8): 1, 3, 67, 201, 367, 1101, 24589, 73767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73767: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73767 is composite. Its prime factorisation is
- 3
The divisors add up to 100096; without 73767 itself that is 26329, so 73767 is deficient (26329 is less than 73767). Euler's totient φ(73767) = 48312 numbers up to 73767 share no factor with it.
- 4
The digits of 73767 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73767 = 3 \times 67 \times 367 \]
73767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 100096 |
| Euler totient φ(n) | 48312 |
| Square | 5441570289 |
| Cube | 401408315508663 |
| Square root | 271.600810 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3767 × |
73767 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and sixty-seven |
| Binary (base 2) | 10010000000100111 |
| Octal (base 8) | 220047 |
| Hexadecimal (base 16) | 12027 |
| Base 3 | 10202012010 |
| As time | 73767 seconds = 20 h 29 min 27 s |
Is 73767 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 (73767 ÷ 3 = 24589) | 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 1) | 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 | No (remainder 3) | 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 1) | 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 73767 a prime number?
No. 73767 = 3 × 67 × 367, so it is divisible by 3.
What are the factors of 73767?
1, 3, 67, 201, 367, 1101, 24589, 73767.
What is 73767 in binary?
10010000000100111 (hexadecimal 12027, octal 220047).
What is the square root of 73767?
About 271.6008.
Is 73767 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 73767?
73767 is a happy number: repeatedly adding the squares of its digits reaches 1.