The number 97970
97970 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 97 × 101. Divisors (16): 1, 2, 5, 10, 97, 101, 194, 202, 485, 505, 970, 1010, 9797, 19594, 48985, 97970.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97970 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97970 is composite. Its prime factorisation is
- 3
The divisors add up to 179928; without 97970 itself that is 81958, so 97970 is deficient (81958 is less than 97970). Euler's totient φ(97970) = 38400 numbers up to 97970 share no factor with it.
- 4
The digits of 97970 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97970 = 2 \times 5 \times 97 \times 101 \]
97970 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 179928 |
| Euler totient φ(n) | 38400 |
| Square | 9598120900 |
| Cube | 940327904573000 |
| Square root | 313.001597 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.797 × |
97970 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and seventy |
| Binary (base 2) | 10111111010110010 |
| Octal (base 8) | 277262 |
| Hexadecimal (base 16) | 17EB2 |
| Base 3 | 11222101112 |
| As time | 97970 seconds = 27 h 12 min 50 s |
Is 97970 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97970 ÷ 2 = 48985) | 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 | Yes (97970 ÷ 5 = 19594) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97970 ÷ 10 = 9797) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 97970 a prime number?
No. 97970 = 2 × 5 × 97 × 101, so it is divisible by 2.
What are the factors of 97970?
1, 2, 5, 10, 97, 101, 194, 202, 485, 505, 970, 1010, 9797, 19594, 48985, 97970.
What is 97970 in binary?
10111111010110010 (hexadecimal 17EB2, octal 277262).
What is the square root of 97970?
About 313.0016.
Is 97970 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 97970?
It is a composite number with 16 divisors.