The number 97031
97031 is a composite number with 4 divisors. Its prime factorisation is 11 × 8821. Divisors (4): 1, 11, 8821, 97031.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97031: a semiprime: 11 × 8821, the product of two primes.
- 2
97031 is composite. Its prime factorisation is
- 3
The divisors add up to 105864; without 97031 itself that is 8833, so 97031 is deficient (8833 is less than 97031). Euler's totient φ(97031) = 88200 numbers up to 97031 share no factor with it.
- 4
The digits of 97031 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97031 = 11 \times 8821 \]
97031 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 105864 |
| Euler totient φ(n) | 88200 |
| Square | 9415014961 |
| Cube | 913548316680791 |
| Square root | 311.497994 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 84 |
| Scientific notation | 9.7031 × |
97031 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and thirty-one |
| Binary (base 2) | 10111101100000111 |
| Octal (base 8) | 275407 |
| Hexadecimal (base 16) | 17B07 |
| Base 3 | 11221002202 |
| As time | 97031 seconds = 26 h 57 min 11 s |
Is 97031 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 | No (remainder 2) | 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 5) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (97031 ÷ 11 = 8821) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97031 a prime number?
No. 97031 = 11 × 8821, so it is divisible by 11.
What are the factors of 97031?
1, 11, 8821, 97031.
What is 97031 in binary?
10111101100000111 (hexadecimal 17B07, octal 275407).
What is the square root of 97031?
About 311.4980.
Is 97031 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 97031?
97031 is a semiprime: 11 × 8821, the product of two primes.