The number 38588
38588 is a composite number with 12 divisors. Its prime factorisation is × 11 × 877. Divisors (12): 1, 2, 4, 11, 22, 44, 877, 1754, 3508, 9647, 19294, 38588.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38588: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38588 is composite. Its prime factorisation is
- 3
The divisors add up to 73752; without 38588 itself that is 35164, so 38588 is deficient (35164 is less than 38588). Euler's totient φ(38588) = 17520 numbers up to 38588 share no factor with it.
- 4
The digits of 38588 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38588 = 2^{2} \times 11 \times 877 \]38588 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73752 |
| Euler totient φ(n) | 17520 |
| Square | 1489033744 |
| Cube | 57458834113472 |
| Square root | 196.438285 (= 2√9647) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8588 × |
38588 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand five hundred and eighty-eight |
| Binary (base 2) | 1001011010111100 |
| Octal (base 8) | 113274 |
| Hexadecimal (base 16) | 96BC |
| Base 3 | 1221221012 |
| As time | 38588 seconds = 10 h 43 min 8 s |
Is 38588 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38588 ÷ 2 = 19294) | 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 | Yes (38588 ÷ 4 = 9647) | 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 2) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38588 ÷ 11 = 3508) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38588 a prime number?
No. 38588 = × 11 × 877, so it is divisible by 2.
What are the factors of 38588?
1, 2, 4, 11, 22, 44, 877, 1754, 3508, 9647, 19294, 38588.
What is 38588 in binary?
1001011010111100 (hexadecimal 96BC, octal 113274).
What is the square root of 38588?
About 196.4383, exactly 2√9647.
Is 38588 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 38588?
38588 is a happy number: repeatedly adding the squares of its digits reaches 1.