The number 98004
98004 is a composite number with 12 divisors. Its prime factorisation is × 3 × 8167. Divisors (12): 1, 2, 3, 4, 6, 12, 8167, 16334, 24501, 32668, 49002, 98004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98004 is composite. Its prime factorisation is
- 3
The divisors add up to 228704; without 98004 itself that is 130700, so 98004 is abundant (130700 is more than 98004). Euler's totient φ(98004) = 32664 numbers up to 98004 share no factor with it.
- 4
The digits of 98004 add up to 21, 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
\[ 98004 = 2^{2} \times 3 \times 8167 \]98004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 228704 |
| Euler totient φ(n) | 32664 |
| Square | 9604784016 |
| Cube | 941307252704064 |
| Square root | 313.055906 (= 2√24501) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.8004 × |
98004 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and four |
| Binary (base 2) | 10111111011010100 |
| Octal (base 8) | 277324 |
| Hexadecimal (base 16) | 17ED4 |
| Base 3 | 11222102210 |
| As time | 98004 seconds = 27 h 13 min 24 s |
Is 98004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98004 ÷ 2 = 49002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98004 ÷ 3 = 32668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98004 ÷ 4 = 24501) | 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 | Yes (98004 ÷ 6 = 16334) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (98004 ÷ 12 = 8167) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98004 a prime number?
No. 98004 = × 3 × 8167, so it is divisible by 2.
What are the factors of 98004?
1, 2, 3, 4, 6, 12, 8167, 16334, 24501, 32668, 49002, 98004.
What is 98004 in binary?
10111111011010100 (hexadecimal 17ED4, octal 277324).
What is the square root of 98004?
About 313.0559, exactly 2√24501.
Is 98004 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 98004?
It is a composite number with 12 divisors.