The number 97382
97382 is a composite number with 16 divisors. Its prime factorisation is 2 × 23 × 29 × 73. Divisors (16): 1, 2, 23, 29, 46, 58, 73, 146, 667, 1334, 1679, 2117, 3358, 4234, 48691, 97382.
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How to work it out
- 1
What is special about 97382: a Harshad number: divisible by its digit sum 29.
- 2
97382 is composite. Its prime factorisation is
- 3
The divisors add up to 159840; without 97382 itself that is 62458, so 97382 is deficient (62458 is less than 97382). Euler's totient φ(97382) = 44352 numbers up to 97382 share no factor with it.
- 4
The digits of 97382 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97382 = 2 \times 23 \times 29 \times 73 \]
97382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 159840 |
| Euler totient φ(n) | 44352 |
| Square | 9483253924 |
| Cube | 923498233626968 |
| Square root | 312.060891 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.7382 × |
97382 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and eighty-two |
| Binary (base 2) | 10111110001100110 |
| Octal (base 8) | 276146 |
| Hexadecimal (base 16) | 17C66 |
| Base 3 | 11221120202 |
| As time | 97382 seconds = 27 h 3 min 2 s |
Is 97382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97382 ÷ 2 = 48691) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97382 a prime number?
No. 97382 = 2 × 23 × 29 × 73, so it is divisible by 2.
What are the factors of 97382?
1, 2, 23, 29, 46, 58, 73, 146, 667, 1334, 1679, 2117, 3358, 4234, 48691, 97382.
What is 97382 in binary?
10111110001100110 (hexadecimal 17C66, octal 276146).
What is the square root of 97382?
About 312.0609.
Is 97382 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 97382?
97382 is a Harshad number: divisible by its digit sum 29.