The number 98967
98967 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 2999. Divisors (8): 1, 3, 11, 33, 2999, 8997, 32989, 98967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98967 is composite. Its prime factorisation is
- 3
The divisors add up to 144000; without 98967 itself that is 45033, so 98967 is deficient (45033 is less than 98967). Euler's totient φ(98967) = 59960 numbers up to 98967 share no factor with it.
- 4
The digits of 98967 add up to 39, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98967 = 3 \times 11 \times 2999 \]
98967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 144000 |
| Euler totient φ(n) | 59960 |
| Square | 9794467089 |
| Cube | 969329024397063 |
| Square root | 314.590210 |
| Digit sum / digital root | 39 / 3 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.8967 × |
98967 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand nine hundred and sixty-seven |
| Binary (base 2) | 11000001010010111 |
| Octal (base 8) | 301227 |
| Hexadecimal (base 16) | 18297 |
| Base 3 | 12000202110 |
| As time | 98967 seconds = 27 h 29 min 27 s |
Is 98967 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 (98967 ÷ 3 = 32989) | 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 | Yes (98967 ÷ 11 = 8997) | 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 98967 a prime number?
No. 98967 = 3 × 11 × 2999, so it is divisible by 3.
What are the factors of 98967?
1, 3, 11, 33, 2999, 8997, 32989, 98967.
What is 98967 in binary?
11000001010010111 (hexadecimal 18297, octal 301227).
What is the square root of 98967?
About 314.5902.
Is 98967 divisible by 3?
Yes. Its digits add up to 39, a multiple of 3.
What is special about the number 98967?
It is a composite number with 8 divisors.