The number 97313
97313 is a composite number with 4 divisors. Its prime factorisation is 23 × 4231. Divisors (4): 1, 23, 4231, 97313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97313: a Harshad number: divisible by its digit sum 23; a semiprime: 23 × 4231, the product of two primes.
- 2
97313 is composite. Its prime factorisation is
- 3
The divisors add up to 101568; without 97313 itself that is 4255, so 97313 is deficient (4255 is less than 97313). Euler's totient φ(97313) = 93060 numbers up to 97313 share no factor with it.
- 4
The digits of 97313 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 221 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97313 = 23 \times 4231 \]
97313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 101568 |
| Euler totient φ(n) | 93060 |
| Square | 9469819969 |
| Cube | 921536590643297 |
| Square root | 311.950317 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 221 |
| Scientific notation | 9.7313 × |
97313 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and thirteen |
| Binary (base 2) | 10111110000100001 |
| Octal (base 8) | 276041 |
| Hexadecimal (base 16) | 17C21 |
| Base 3 | 11221111012 |
| As time | 97313 seconds = 27 h 1 min 53 s |
Is 97313 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 | No (remainder 6) | 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 1) | 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 | No (remainder 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97313 a prime number?
No. 97313 = 23 × 4231, so it is divisible by 23.
What are the factors of 97313?
1, 23, 4231, 97313.
What is 97313 in binary?
10111110000100001 (hexadecimal 17C21, octal 276041).
What is the square root of 97313?
About 311.9503.
Is 97313 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 97313?
97313 is a Harshad number: divisible by its digit sum 23; a semiprime: 23 × 4231, the product of two primes.