The number 98067
98067 is a composite number with 8 divisors. Its prime factorisation is 3 × 97 × 337. Divisors (8): 1, 3, 97, 291, 337, 1011, 32689, 98067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98067: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
98067 is composite. Its prime factorisation is
- 3
The divisors add up to 132496; without 98067 itself that is 34429, so 98067 is deficient (34429 is less than 98067). Euler's totient φ(98067) = 64512 numbers up to 98067 share no factor with it.
- 4
The digits of 98067 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98067 = 3 \times 97 \times 337 \]
98067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 132496 |
| Euler totient φ(n) | 64512 |
| Square | 9617136489 |
| Cube | 943123724066763 |
| Square root | 313.156510 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8067 × |
98067 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and sixty-seven |
| Binary (base 2) | 10111111100010011 |
| Octal (base 8) | 277423 |
| Hexadecimal (base 16) | 17F13 |
| Base 3 | 11222112010 |
| As time | 98067 seconds = 27 h 14 min 27 s |
Is 98067 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 (98067 ÷ 3 = 32689) | 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 3) | 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 2) | 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 98067 a prime number?
No. 98067 = 3 × 97 × 337, so it is divisible by 3.
What are the factors of 98067?
1, 3, 97, 291, 337, 1011, 32689, 98067.
What is 98067 in binary?
10111111100010011 (hexadecimal 17F13, octal 277423).
What is the square root of 98067?
About 313.1565.
Is 98067 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 98067?
98067 is a happy number: repeatedly adding the squares of its digits reaches 1.