The number 73197
73197 is a composite number with 8 divisors. Its prime factorisation is × 2711. Divisors (8): 1, 3, 9, 27, 2711, 8133, 24399, 73197.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73197: a Harshad number: divisible by its digit sum 27.
- 2
73197 is composite. Its prime factorisation is
- 3
The divisors add up to 108480; without 73197 itself that is 35283, so 73197 is deficient (35283 is less than 73197). Euler's totient φ(73197) = 48780 numbers up to 73197 share no factor with it.
- 4
The digits of 73197 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73197 = 3^{3} \times 2711 \]73197 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 108480 |
| Euler totient φ(n) | 48780 |
| Square | 5357800809 |
| Cube | 392174945816373 |
| Square root | 270.549441 (= 3√8133) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3197 × |
73197 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and ninety-seven |
| Binary (base 2) | 10001110111101101 |
| Octal (base 8) | 216755 |
| Hexadecimal (base 16) | 11DED |
| Base 3 | 10201102000 |
| As time | 73197 seconds = 20 h 19 min 57 s |
Is 73197 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 (73197 ÷ 3 = 24399) | 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 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 | No (remainder 5) | 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 (73197 ÷ 9 = 8133) | 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 3) | 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 73197 a prime number?
No. 73197 = × 2711, so it is divisible by 3.
What are the factors of 73197?
1, 3, 9, 27, 2711, 8133, 24399, 73197.
What is 73197 in binary?
10001110111101101 (hexadecimal 11DED, octal 216755).
What is the square root of 73197?
About 270.5494, exactly 3√8133.
Is 73197 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73197?
73197 is a Harshad number: divisible by its digit sum 27.