The number 98012
98012 is a composite number with 12 divisors. Its prime factorisation is × 107 × 229. Divisors (12): 1, 2, 4, 107, 214, 229, 428, 458, 916, 24503, 49006, 98012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98012 is composite. Its prime factorisation is
- 3
The divisors add up to 173880; without 98012 itself that is 75868, so 98012 is deficient (75868 is less than 98012). Euler's totient φ(98012) = 48336 numbers up to 98012 share no factor with it.
- 4
The digits of 98012 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98012 = 2^{2} \times 107 \times 229 \]98012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 173880 |
| Euler totient φ(n) | 48336 |
| Square | 9606352144 |
| Cube | 941537786337728 |
| Square root | 313.068683 (= 2√24503) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8012 × |
98012 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and twelve |
| Binary (base 2) | 10111111011011100 |
| Octal (base 8) | 277334 |
| Hexadecimal (base 16) | 17EDC |
| Base 3 | 11222110002 |
| As time | 98012 seconds = 27 h 13 min 32 s |
Is 98012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98012 ÷ 2 = 49006) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98012 ÷ 4 = 24503) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98012 a prime number?
No. 98012 = × 107 × 229, so it is divisible by 2.
What are the factors of 98012?
1, 2, 4, 107, 214, 229, 428, 458, 916, 24503, 49006, 98012.
What is 98012 in binary?
10111111011011100 (hexadecimal 17EDC, octal 277334).
What is the square root of 98012?
About 313.0687, exactly 2√24503.
Is 98012 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 98012?
It is a composite number with 12 divisors.