The number 97227
97227 is a composite number with 16 divisors. Its prime factorisation is × 13 × 277. Divisors (16): 1, 3, 9, 13, 27, 39, 117, 277, 351, 831, 2493, 3601, 7479, 10803, 32409, 97227.
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How to work it out
- 1
What is special about 97227: a Harshad number: divisible by its digit sum 27.
- 2
97227 is composite. Its prime factorisation is
- 3
The divisors add up to 155680; without 97227 itself that is 58453, so 97227 is deficient (58453 is less than 97227). Euler's totient φ(97227) = 59616 numbers up to 97227 share no factor with it.
- 4
The digits of 97227 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97227 = 3^{3} \times 13 \times 277 \]97227 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 155680 |
| Euler totient φ(n) | 59616 |
| Square | 9453089529 |
| Cube | 919095535636083 |
| Square root | 311.812444 (= 3√10803) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7227 × |
97227 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand two hundred and twenty-seven |
| Binary (base 2) | 10111101111001011 |
| Octal (base 8) | 275713 |
| Hexadecimal (base 16) | 17BCB |
| Base 3 | 11221101000 |
| As time | 97227 seconds = 27 h 0 min 27 s |
Is 97227 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 (97227 ÷ 3 = 32409) | 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 | No (remainder 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97227 ÷ 9 = 10803) | 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 9) | 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 97227 a prime number?
No. 97227 = × 13 × 277, so it is divisible by 3.
What are the factors of 97227?
1, 3, 9, 13, 27, 39, 117, 277, 351, 831, 2493, 3601, 7479, 10803, 32409, 97227.
What is 97227 in binary?
10111101111001011 (hexadecimal 17BCB, octal 275713).
What is the square root of 97227?
About 311.8124, exactly 3√10803.
Is 97227 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97227?
97227 is a Harshad number: divisible by its digit sum 27.