The number 38395
38395 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 1097. Divisors (8): 1, 5, 7, 35, 1097, 5485, 7679, 38395.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38395: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38395 is composite. Its prime factorisation is
- 3
The divisors add up to 52704; without 38395 itself that is 14309, so 38395 is deficient (14309 is less than 38395). Euler's totient φ(38395) = 26304 numbers up to 38395 share no factor with it.
- 4
The digits of 38395 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38395 = 5 \times 7 \times 1097 \]
38395 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 52704 |
| Euler totient φ(n) | 26304 |
| Square | 1474176025 |
| Cube | 56600988479875 |
| Square root | 195.946421 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8395 × |
38395 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and ninety-five |
| Binary (base 2) | 1001010111111011 |
| Octal (base 8) | 112773 |
| Hexadecimal (base 16) | 95FB |
| Base 3 | 1221200001 |
| As time | 38395 seconds = 10 h 39 min 55 s |
Is 38395 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 1) | 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 | Yes (38395 ÷ 5 = 7679) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38395 ÷ 7 = 5485) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38395 a prime number?
No. 38395 = 5 × 7 × 1097, so it is divisible by 5.
What are the factors of 38395?
1, 5, 7, 35, 1097, 5485, 7679, 38395.
What is 38395 in binary?
1001010111111011 (hexadecimal 95FB, octal 112773).
What is the square root of 38395?
About 195.9464.
Is 38395 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 38395?
38395 is a happy number: repeatedly adding the squares of its digits reaches 1.