The number 98767
98767 is a composite number with 4 divisors. Its prime factorisation is 283 × 349. Divisors (4): 1, 283, 349, 98767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98767: a semiprime: 283 × 349, the product of two primes.
- 2
98767 is composite. Its prime factorisation is
- 3
The divisors add up to 99400; without 98767 itself that is 633, so 98767 is deficient (633 is less than 98767). Euler's totient φ(98767) = 98136 numbers up to 98767 share no factor with it.
- 4
The digits of 98767 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98767 = 283 \times 349 \]
98767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 99400 |
| Euler totient φ(n) | 98136 |
| Square | 9754920289 |
| Cube | 963464212183663 |
| Square root | 314.272175 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.8767 × |
98767 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand seven hundred and sixty-seven |
| Binary (base 2) | 11000000111001111 |
| Octal (base 8) | 300717 |
| Hexadecimal (base 16) | 181CF |
| Base 3 | 12000111001 |
| As time | 98767 seconds = 27 h 26 min 7 s |
Is 98767 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 | No (remainder 1) | 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 1) | 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 | No (remainder 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98767 a prime number?
No. 98767 = 283 × 349, so it is divisible by 283.
What are the factors of 98767?
1, 283, 349, 98767.
What is 98767 in binary?
11000000111001111 (hexadecimal 181CF, octal 300717).
What is the square root of 98767?
About 314.2722.
Is 98767 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 98767?
98767 is a semiprime: 283 × 349, the product of two primes.