The number 39088
39088 is a composite number with 20 divisors. Its prime factorisation is × 7 × 349. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 349, 698, 1396, 2443, 2792, 4886 … 39088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39088: a Harshad number: divisible by its digit sum 28.
- 2
39088 is composite. Its prime factorisation is
- 3
The divisors add up to 86800; without 39088 itself that is 47712, so 39088 is abundant (47712 is more than 39088). Euler's totient φ(39088) = 16704 numbers up to 39088 share no factor with it.
- 4
The digits of 39088 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39088 = 2^{4} \times 7 \times 349 \]39088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 86800 |
| Euler totient φ(n) | 16704 |
| Square | 1527871744 |
| Cube | 59721450729472 |
| Square root | 197.706854 (= 4√2443) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.9088 × |
39088 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand and eighty-eight |
| Binary (base 2) | 1001100010110000 |
| Octal (base 8) | 114260 |
| Hexadecimal (base 16) | 98B0 |
| Base 3 | 1222121201 |
| As time | 39088 seconds = 10 h 51 min 28 s |
Is 39088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39088 ÷ 2 = 19544) | 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 | Yes (39088 ÷ 4 = 9772) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (39088 ÷ 7 = 5584) | 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 | Yes (39088 ÷ 8 = 4886) | 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 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39088 a prime number?
No. 39088 = × 7 × 349, so it is divisible by 2.
What are the factors of 39088?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 349, 698, 1396, 2443, 2792, 4886, 5584, 9772, 19544, 39088.
What is 39088 in binary?
1001100010110000 (hexadecimal 98B0, octal 114260).
What is the square root of 39088?
About 197.7069, exactly 4√2443.
Is 39088 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 39088?
39088 is a Harshad number: divisible by its digit sum 28.