The number 98073
98073 is a composite number with 12 divisors. Its prime factorisation is × 17 × 641. Divisors (12): 1, 3, 9, 17, 51, 153, 641, 1923, 5769, 10897, 32691, 98073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98073: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
98073 is composite. Its prime factorisation is
- 3
The divisors add up to 150228; without 98073 itself that is 52155, so 98073 is deficient (52155 is less than 98073). Euler's totient φ(98073) = 61440 numbers up to 98073 share no factor with it.
- 4
The digits of 98073 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98073 = 3^{2} \times 17 \times 641 \]98073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 150228 |
| Euler totient φ(n) | 61440 |
| Square | 9618313329 |
| Cube | 943296843115017 |
| Square root | 313.166090 (= 3√10897) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.8073 × |
98073 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and seventy-three |
| Binary (base 2) | 10111111100011001 |
| Octal (base 8) | 277431 |
| Hexadecimal (base 16) | 17F19 |
| Base 3 | 11222112100 |
| As time | 98073 seconds = 27 h 14 min 33 s |
Is 98073 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 (98073 ÷ 3 = 32691) | 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 3) | 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 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (98073 ÷ 9 = 10897) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98073 a prime number?
No. 98073 = × 17 × 641, so it is divisible by 3.
What are the factors of 98073?
1, 3, 9, 17, 51, 153, 641, 1923, 5769, 10897, 32691, 98073.
What is 98073 in binary?
10111111100011001 (hexadecimal 17F19, octal 277431).
What is the square root of 98073?
About 313.1661, exactly 3√10897.
Is 98073 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 98073?
98073 is a happy number: repeatedly adding the squares of its digits reaches 1.