The number 98007
98007 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 13 × 359. Divisors (16): 1, 3, 7, 13, 21, 39, 91, 273, 359, 1077, 2513, 4667, 7539, 14001, 32669, 98007.
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How to work it out
- 1
98007 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98007 is composite. Its prime factorisation is
- 3
The divisors add up to 161280; without 98007 itself that is 63273, so 98007 is deficient (63273 is less than 98007). Euler's totient φ(98007) = 51552 numbers up to 98007 share no factor with it.
- 4
The digits of 98007 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98007 = 3 \times 7 \times 13 \times 359 \]
98007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 161280 |
| Euler totient φ(n) | 51552 |
| Square | 9605372049 |
| Cube | 941393698406343 |
| Square root | 313.060697 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8007 × |
98007 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and seven |
| Binary (base 2) | 10111111011010111 |
| Octal (base 8) | 277327 |
| Hexadecimal (base 16) | 17ED7 |
| Base 3 | 11222102220 |
| As time | 98007 seconds = 27 h 13 min 27 s |
Is 98007 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 (98007 ÷ 3 = 32669) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (98007 ÷ 7 = 14001) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98007 a prime number?
No. 98007 = 3 × 7 × 13 × 359, so it is divisible by 3.
What are the factors of 98007?
1, 3, 7, 13, 21, 39, 91, 273, 359, 1077, 2513, 4667, 7539, 14001, 32669, 98007.
What is 98007 in binary?
10111111011010111 (hexadecimal 17ED7, octal 277327).
What is the square root of 98007?
About 313.0607.
Is 98007 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 98007?
It is a composite number with 16 divisors.