The number 97071
97071 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 19 × 131. Divisors (16): 1, 3, 13, 19, 39, 57, 131, 247, 393, 741, 1703, 2489, 5109, 7467, 32357, 97071.
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How to work it out
- 1
97071 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97071 is composite. Its prime factorisation is
- 3
The divisors add up to 147840; without 97071 itself that is 50769, so 97071 is deficient (50769 is less than 97071). Euler's totient φ(97071) = 56160 numbers up to 97071 share no factor with it.
- 4
The digits of 97071 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97071 = 3 \times 13 \times 19 \times 131 \]
97071 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 147840 |
| Euler totient φ(n) | 56160 |
| Square | 9422779041 |
| Cube | 914678584288911 |
| Square root | 311.562193 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.7071 × |
97071 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and seventy-one |
| Binary (base 2) | 10111101100101111 |
| Octal (base 8) | 275457 |
| Hexadecimal (base 16) | 17B2F |
| Base 3 | 11221011020 |
| As time | 97071 seconds = 26 h 57 min 51 s |
Is 97071 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 (97071 ÷ 3 = 32357) | 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 1) | 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 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 97071 a prime number?
No. 97071 = 3 × 13 × 19 × 131, so it is divisible by 3.
What are the factors of 97071?
1, 3, 13, 19, 39, 57, 131, 247, 393, 741, 1703, 2489, 5109, 7467, 32357, 97071.
What is 97071 in binary?
10111101100101111 (hexadecimal 17B2F, octal 275457).
What is the square root of 97071?
About 311.5622.
Is 97071 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 97071?
It is a composite number with 16 divisors.