The number 97362
97362 is a composite number with 20 divisors. Its prime factorisation is 2 × × 601. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 601, 1202, 1803, 3606, 5409, 10818 … 97362.
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How to work it out
- 1
What is special about 97362: a Harshad number: divisible by its digit sum 27.
- 2
97362 is composite. Its prime factorisation is
- 3
The divisors add up to 218526; without 97362 itself that is 121164, so 97362 is abundant (121164 is more than 97362). Euler's totient φ(97362) = 32400 numbers up to 97362 share no factor with it.
- 4
The digits of 97362 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 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97362 = 2 \times 3^{4} \times 601 \]97362 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 218526 |
| Euler totient φ(n) | 32400 |
| Square | 9479359044 |
| Cube | 922929355241928 |
| Square root | 312.028845 (= 9√1202) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.7362 × |
97362 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and sixty-two |
| Binary (base 2) | 10111110001010010 |
| Octal (base 8) | 276122 |
| Hexadecimal (base 16) | 17C52 |
| Base 3 | 11221120000 |
| As time | 97362 seconds = 27 h 2 min 42 s |
Is 97362 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97362 ÷ 2 = 48681) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97362 ÷ 3 = 32454) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (97362 ÷ 6 = 16227) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97362 ÷ 9 = 10818) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97362 a prime number?
No. 97362 = 2 × × 601, so it is divisible by 2.
What are the factors of 97362?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 601, 1202, 1803, 3606, 5409, 10818, 16227, 32454, 48681, 97362.
What is 97362 in binary?
10111110001010010 (hexadecimal 17C52, octal 276122).
What is the square root of 97362?
About 312.0288, exactly 9√1202.
Is 97362 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97362?
97362 is a Harshad number: divisible by its digit sum 27.