The number 98989
98989 is a palindrome: it reads 98989 backwards too. Its prime factorisation is 11 × 8999. Divisors (4): 1, 11, 8999, 98989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98989: a palindrome: it reads 98989 backwards too; a semiprime: 11 × 8999, the product of two primes.
- 2
98989 is composite. Its prime factorisation is
- 3
The divisors add up to 108000; without 98989 itself that is 9011, so 98989 is deficient (9011 is less than 98989). Euler's totient φ(98989) = 89980 numbers up to 98989 share no factor with it.
- 4
The digits of 98989 add up to 43, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98989 = 11 \times 8999 \]
98989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 108000 |
| Euler totient φ(n) | 89980 |
| Square | 9798822121 |
| Cube | 969975602935669 |
| Square root | 314.625174 |
| Digit sum / digital root | 43 / 7 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.8989 × |
98989 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand nine hundred and eighty-nine |
| Binary (base 2) | 11000001010101101 |
| Octal (base 8) | 301255 |
| Hexadecimal (base 16) | 182AD |
| Base 3 | 12000210021 |
| As time | 98989 seconds = 27 h 29 min 49 s |
Is 98989 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 7) | 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 (98989 ÷ 11 = 8999) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98989 a prime number?
No. 98989 = 11 × 8999, so it is divisible by 11.
What are the factors of 98989?
1, 11, 8999, 98989.
What is 98989 in binary?
11000001010101101 (hexadecimal 182AD, octal 301255).
What is the square root of 98989?
About 314.6252.
Is 98989 divisible by 3?
No. Its digits add up to 43, which is not a multiple of 3.
What is special about the number 98989?
98989 is a palindrome: it reads 98989 backwards too; a semiprime: 11 × 8999, the product of two primes.