The number 98008
98008 is a composite number with 8 divisors. Its prime factorisation is × 12251. Divisors (8): 1, 2, 4, 8, 12251, 24502, 49004, 98008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98008 is composite. Its prime factorisation is
- 3
The divisors add up to 183780; without 98008 itself that is 85772, so 98008 is deficient (85772 is less than 98008). Euler's totient φ(98008) = 49000 numbers up to 98008 share no factor with it.
- 4
The digits of 98008 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98008 = 2^{3} \times 12251 \]98008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 183780 |
| Euler totient φ(n) | 49000 |
| Square | 9605568064 |
| Cube | 941422514816512 |
| Square root | 313.062294 (= 2√24502) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8008 × |
98008 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and eight |
| Binary (base 2) | 10111111011011000 |
| Octal (base 8) | 277330 |
| Hexadecimal (base 16) | 17ED8 |
| Base 3 | 11222102221 |
| As time | 98008 seconds = 27 h 13 min 28 s |
Is 98008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98008 ÷ 2 = 49004) | 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 | Yes (98008 ÷ 4 = 24502) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (98008 ÷ 8 = 12251) | 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 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98008 a prime number?
No. 98008 = × 12251, so it is divisible by 2.
What are the factors of 98008?
1, 2, 4, 8, 12251, 24502, 49004, 98008.
What is 98008 in binary?
10111111011011000 (hexadecimal 17ED8, octal 277330).
What is the square root of 98008?
About 313.0623, exactly 2√24502.
Is 98008 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 98008?
It is a composite number with 8 divisors.