The number 38637
38637 is a composite number with 14 divisors. Its prime factorisation is × 53. Divisors (14): 1, 3, 9, 27, 53, 81, 159, 243, 477, 729, 1431, 4293, 12879, 38637.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38637: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
38637 is composite. Its prime factorisation is
- 3
The divisors add up to 59022; without 38637 itself that is 20385, so 38637 is deficient (20385 is less than 38637). Euler's totient φ(38637) = 25272 numbers up to 38637 share no factor with it.
- 4
The digits of 38637 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38637 = 3^{6} \times 53 \]38637 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 59022 |
| Euler totient φ(n) | 25272 |
| Square | 1492817769 |
| Cube | 57678000140853 |
| Square root | 196.562967 (= 27√53) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8637 × |
38637 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand six hundred and thirty-seven |
| Binary (base 2) | 1001011011101101 |
| Octal (base 8) | 113355 |
| Hexadecimal (base 16) | 96ED |
| Base 3 | 1222000000 |
| As time | 38637 seconds = 10 h 43 min 57 s |
Is 38637 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 | Yes (38637 ÷ 3 = 12879) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (38637 ÷ 9 = 4293) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38637 a prime number?
No. 38637 = × 53, so it is divisible by 3.
What are the factors of 38637?
1, 3, 9, 27, 53, 81, 159, 243, 477, 729, 1431, 4293, 12879, 38637.
What is 38637 in binary?
1001011011101101 (hexadecimal 96ED, octal 113355).
What is the square root of 38637?
About 196.5630, exactly 27√53.
Is 38637 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38637?
38637 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.