The number 83367
83367 is a composite number with 12 divisors. Its prime factorisation is × 59 × 157. Divisors (12): 1, 3, 9, 59, 157, 177, 471, 531, 1413, 9263, 27789, 83367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83367: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
83367 is composite. Its prime factorisation is
- 3
The divisors add up to 123240; without 83367 itself that is 39873, so 83367 is deficient (39873 is less than 83367). Euler's totient φ(83367) = 54288 numbers up to 83367 share no factor with it.
- 4
The digits of 83367 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83367 = 3^{2} \times 59 \times 157 \]83367 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 123240 |
| Euler totient φ(n) | 54288 |
| Square | 6950056689 |
| Cube | 579405375991863 |
| Square root | 288.733441 (= 3√9263) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3367 × |
83367 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and sixty-seven |
| Binary (base 2) | 10100010110100111 |
| Octal (base 8) | 242647 |
| Hexadecimal (base 16) | 145A7 |
| Base 3 | 11020100200 |
| As time | 83367 seconds = 23 h 9 min 27 s |
Is 83367 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 (83367 ÷ 3 = 27789) | 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 4) | 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 (83367 ÷ 9 = 9263) | 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 9) | 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 83367 a prime number?
No. 83367 = × 59 × 157, so it is divisible by 3.
What are the factors of 83367?
1, 3, 9, 59, 157, 177, 471, 531, 1413, 9263, 27789, 83367.
What is 83367 in binary?
10100010110100111 (hexadecimal 145A7, octal 242647).
What is the square root of 83367?
About 288.7334, exactly 3√9263.
Is 83367 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 83367?
83367 is a happy number: repeatedly adding the squares of its digits reaches 1.