The number 97013
97013 is a composite number with 4 divisors. Its prime factorisation is 7 × 13859. Divisors (4): 1, 7, 13859, 97013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97013: a semiprime: 7 × 13859, the product of two primes.
- 2
97013 is composite. Its prime factorisation is
- 3
The divisors add up to 110880; without 97013 itself that is 13867, so 97013 is deficient (13867 is less than 97013). Euler's totient φ(97013) = 83148 numbers up to 97013 share no factor with it.
- 4
The digits of 97013 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 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97013 = 7 \times 13859 \]
97013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 110880 |
| Euler totient φ(n) | 83148 |
| Square | 9411522169 |
| Cube | 913040000181197 |
| Square root | 311.469100 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.7013 × |
97013 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and thirteen |
| Binary (base 2) | 10111101011110101 |
| Octal (base 8) | 275365 |
| Hexadecimal (base 16) | 17AF5 |
| Base 3 | 11221002002 |
| As time | 97013 seconds = 26 h 56 min 53 s |
Is 97013 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (97013 ÷ 7 = 13859) | 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 5) | 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 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97013 a prime number?
No. 97013 = 7 × 13859, so it is divisible by 7.
What are the factors of 97013?
1, 7, 13859, 97013.
What is 97013 in binary?
10111101011110101 (hexadecimal 17AF5, octal 275365).
What is the square root of 97013?
About 311.4691.
Is 97013 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 97013?
97013 is a semiprime: 7 × 13859, the product of two primes.