The number 61397
61397 is a composite number with 8 divisors. Its prime factorisation is Ć 179. Divisors (8): 1, 7, 49, 179, 343, 1253, 8771, 61397.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61397: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
61397 is composite. Its prime factorisation is
- 3
The divisors add up to 72000; without 61397 itself that is 10603, so 61397 is deficient (10603 is less than 61397). Euler's totient Ļ(61397) = 52332 numbers up to 61397 share no factor with it.
- 4
The digits of 61397 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61397 = 7^{3} \times 179 \]61397 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 72000 |
| Euler totient Ļ(n) | 52332 |
| Square | 3769591609 |
| Cube | 231441616017773 |
| Square root | 247.784180 (= 7ā1253) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.1397 Ć |
61397 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and ninety-seven |
| Binary (base 2) | 1110111111010101 |
| Octal (base 8) | 167725 |
| Hexadecimal (base 16) | EFD5 |
| Base 3 | 10010012222 |
| As time | 61397 seconds = 17 h 3 min 17 s |
Is 61397 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 | Yes (61397 Ć· 7 = 8771) | 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 6) | 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 61397 a prime number?
No. 61397 = Ć 179, so it is divisible by 7.
What are the factors of 61397?
1, 7, 49, 179, 343, 1253, 8771, 61397.
What is 61397 in binary?
1110111111010101 (hexadecimal EFD5, octal 167725).
What is the square root of 61397?
About 247.7842, exactly 7ā1253.
Is 61397 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 61397?
61397 is a happy number: repeatedly adding the squares of its digits reaches 1.