The number 98109
98109 is a composite number with 12 divisors. Its prime factorisation is × 11 × 991. Divisors (12): 1, 3, 9, 11, 33, 99, 991, 2973, 8919, 10901, 32703, 98109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98109 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98109 is composite. Its prime factorisation is
- 3
The divisors add up to 154752; without 98109 itself that is 56643, so 98109 is deficient (56643 is less than 98109). Euler's totient φ(98109) = 59400 numbers up to 98109 share no factor with it.
- 4
The digits of 98109 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 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98109 = 3^{2} \times 11 \times 991 \]98109 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 154752 |
| Euler totient φ(n) | 59400 |
| Square | 9625375881 |
| Cube | 944336002309029 |
| Square root | 313.223562 (= 3√10901) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.8109 × |
98109 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand one hundred and nine |
| Binary (base 2) | 10111111100111101 |
| Octal (base 8) | 277475 |
| Hexadecimal (base 16) | 17F3D |
| Base 3 | 11222120200 |
| As time | 98109 seconds = 27 h 15 min 9 s |
Is 98109 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 (98109 ÷ 3 = 32703) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (98109 ÷ 9 = 10901) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (98109 ÷ 11 = 8919) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98109 a prime number?
No. 98109 = × 11 × 991, so it is divisible by 3.
What are the factors of 98109?
1, 3, 9, 11, 33, 99, 991, 2973, 8919, 10901, 32703, 98109.
What is 98109 in binary?
10111111100111101 (hexadecimal 17F3D, octal 277475).
What is the square root of 98109?
About 313.2236, exactly 3√10901.
Is 98109 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 98109?
It is a composite number with 12 divisors.