The number 97173
97173 is a composite number with 16 divisors. Its prime factorisation is × 59 × 61. Divisors (16): 1, 3, 9, 27, 59, 61, 177, 183, 531, 549, 1593, 1647, 3599, 10797, 32391, 97173.
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How to work it out
- 1
What is special about 97173: a Harshad number: divisible by its digit sum 27.
- 2
97173 is composite. Its prime factorisation is
- 3
The divisors add up to 148800; without 97173 itself that is 51627, so 97173 is deficient (51627 is less than 97173). Euler's totient φ(97173) = 62640 numbers up to 97173 share no factor with it.
- 4
The digits of 97173 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97173 = 3^{3} \times 59 \times 61 \]97173 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 148800 |
| Euler totient φ(n) | 62640 |
| Square | 9442591929 |
| Cube | 917564985516717 |
| Square root | 311.725841 (= 3√10797) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7173 × |
97173 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and seventy-three |
| Binary (base 2) | 10111101110010101 |
| Octal (base 8) | 275625 |
| Hexadecimal (base 16) | 17B95 |
| Base 3 | 11221022000 |
| As time | 97173 seconds = 26 h 59 min 33 s |
Is 97173 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 (97173 ÷ 3 = 32391) | 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 6) | 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 (97173 ÷ 9 = 10797) | 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 10) | 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 97173 a prime number?
No. 97173 = × 59 × 61, so it is divisible by 3.
What are the factors of 97173?
1, 3, 9, 27, 59, 61, 177, 183, 531, 549, 1593, 1647, 3599, 10797, 32391, 97173.
What is 97173 in binary?
10111101110010101 (hexadecimal 17B95, octal 275625).
What is the square root of 97173?
About 311.7258, exactly 3√10797.
Is 97173 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97173?
97173 is a Harshad number: divisible by its digit sum 27.