The number 39048
39048 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1627. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1627, 3254, 4881, 6508, 9762, 13016, 19524, 39048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39048: a Harshad number: divisible by its digit sum 24.
- 2
39048 is composite. Its prime factorisation is
- 3
The divisors add up to 97680; without 39048 itself that is 58632, so 39048 is abundant (58632 is more than 39048). Euler's totient φ(39048) = 13008 numbers up to 39048 share no factor with it.
- 4
The digits of 39048 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39048 = 2^{3} \times 3 \times 1627 \]39048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 97680 |
| Euler totient φ(n) | 13008 |
| Square | 1524746304 |
| Cube | 59538293678592 |
| Square root | 197.605668 (= 2√9762) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.9048 × |
39048 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand and forty-eight |
| Binary (base 2) | 1001100010001000 |
| Octal (base 8) | 114210 |
| Hexadecimal (base 16) | 9888 |
| Base 3 | 1222120020 |
| As time | 39048 seconds = 10 h 50 min 48 s |
Is 39048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39048 ÷ 2 = 19524) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39048 ÷ 3 = 13016) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (39048 ÷ 4 = 9762) | 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 | Yes (39048 ÷ 6 = 6508) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (39048 ÷ 8 = 4881) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (39048 ÷ 12 = 3254) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39048 a prime number?
No. 39048 = × 3 × 1627, so it is divisible by 2.
What are the factors of 39048?
1, 2, 3, 4, 6, 8, 12, 24, 1627, 3254, 4881, 6508, 9762, 13016, 19524, 39048.
What is 39048 in binary?
1001100010001000 (hexadecimal 9888, octal 114210).
What is the square root of 39048?
About 197.6057, exactly 2√9762.
Is 39048 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 39048?
39048 is a Harshad number: divisible by its digit sum 24.