The number 97990
97990 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 41 × 239. Divisors (16): 1, 2, 5, 10, 41, 82, 205, 239, 410, 478, 1195, 2390, 9799, 19598, 48995, 97990.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97990 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97990 is composite. Its prime factorisation is
- 3
The divisors add up to 181440; without 97990 itself that is 83450, so 97990 is deficient (83450 is less than 97990). Euler's totient φ(97990) = 38080 numbers up to 97990 share no factor with it.
- 4
The digits of 97990 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97990 = 2 \times 5 \times 41 \times 239 \]
97990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 181440 |
| Euler totient φ(n) | 38080 |
| Square | 9602040100 |
| Cube | 940903909399000 |
| Square root | 313.033545 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.799 × |
97990 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and ninety |
| Binary (base 2) | 10111111011000110 |
| Octal (base 8) | 277306 |
| Hexadecimal (base 16) | 17EC6 |
| Base 3 | 11222102021 |
| As time | 97990 seconds = 27 h 13 min 10 s |
Is 97990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97990 ÷ 2 = 48995) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (97990 ÷ 5 = 19598) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97990 ÷ 10 = 9799) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97990 a prime number?
No. 97990 = 2 × 5 × 41 × 239, so it is divisible by 2.
What are the factors of 97990?
1, 2, 5, 10, 41, 82, 205, 239, 410, 478, 1195, 2390, 9799, 19598, 48995, 97990.
What is 97990 in binary?
10111111011000110 (hexadecimal 17EC6, octal 277306).
What is the square root of 97990?
About 313.0335.
Is 97990 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 97990?
It is a composite number with 16 divisors.