The number 98973
98973 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1571. Divisors (12): 1, 3, 7, 9, 21, 63, 1571, 4713, 10997, 14139, 32991, 98973.
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How to work it out
- 1
98973 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98973 is composite. Its prime factorisation is
- 3
The divisors add up to 163488; without 98973 itself that is 64515, so 98973 is deficient (64515 is less than 98973). Euler's totient φ(98973) = 56520 numbers up to 98973 share no factor with it.
- 4
The digits of 98973 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98973 = 3^{2} \times 7 \times 1571 \]98973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 163488 |
| Euler totient φ(n) | 56520 |
| Square | 9795654729 |
| Cube | 969505335493317 |
| Square root | 314.599746 (= 3√10997) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.8973 × |
98973 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand nine hundred and seventy-three |
| Binary (base 2) | 11000001010011101 |
| Octal (base 8) | 301235 |
| Hexadecimal (base 16) | 1829D |
| Base 3 | 12000202200 |
| As time | 98973 seconds = 27 h 29 min 33 s |
Is 98973 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 (98973 ÷ 3 = 32991) | 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 | Yes (98973 ÷ 7 = 14139) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (98973 ÷ 9 = 10997) | 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 6) | 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 98973 a prime number?
No. 98973 = × 7 × 1571, so it is divisible by 3.
What are the factors of 98973?
1, 3, 7, 9, 21, 63, 1571, 4713, 10997, 14139, 32991, 98973.
What is 98973 in binary?
11000001010011101 (hexadecimal 1829D, octal 301235).
What is the square root of 98973?
About 314.5997, exactly 3√10997.
Is 98973 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 98973?
It is a composite number with 12 divisors.