The number 7397
7397 is a composite number with 4 divisors. Its prime factorisation is 13 × 569. Divisors (4): 1, 13, 569, 7397.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7397: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 569, the product of two primes.
- 2
7397 is composite. Its prime factorisation is
- 3
The divisors add up to 7980; without 7397 itself that is 583, so 7397 is deficient (583 is less than 7397). Euler's totient φ(7397) = 6816 numbers up to 7397 share no factor with it.
- 4
The digits of 7397 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7397 = 13 \times 569 \]
7397 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7980 |
| Euler totient φ(n) | 6816 |
| Square | 54715609 |
| Cube | 404731359773 |
| Square root | 86.005814 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 70 |
| Scientific notation | 7.397 × |
7397 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and ninety-seven |
| Binary (base 2) | 1110011100101 |
| Octal (base 8) | 16345 |
| Hexadecimal (base 16) | 1CE5 |
| Base 3 | 101010222 |
| As time | 7397 seconds = 2 h 3 min 17 s |
Is 7397 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 2) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 7397 a prime number?
No. 7397 = 13 × 569, so it is divisible by 13.
What are the factors of 7397?
1, 13, 569, 7397.
What is 7397 in binary?
1110011100101 (hexadecimal 1CE5, octal 16345).
What is the square root of 7397?
About 86.0058.
Is 7397 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 7397?
7397 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 569, the product of two primes.