The number 39024
39024 is a composite number with 30 divisors. Its prime factorisation is × × 271. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 271 … 39024.
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How to work it out
- 1
What is special about 39024: a Harshad number: divisible by its digit sum 18.
- 2
39024 is composite. Its prime factorisation is
- 3
The divisors add up to 109616; without 39024 itself that is 70592, so 39024 is abundant (70592 is more than 39024). Euler's totient φ(39024) = 12960 numbers up to 39024 share no factor with it.
- 4
The digits of 39024 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39024 = 2^{4} \times 3^{2} \times 271 \]39024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 109616 |
| Euler totient φ(n) | 12960 |
| Square | 1522872576 |
| Cube | 59428579405824 |
| Square root | 197.544932 (= 12√271) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.9024 × |
39024 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand and twenty-four |
| Binary (base 2) | 1001100001110000 |
| Octal (base 8) | 114160 |
| Hexadecimal (base 16) | 9870 |
| Base 3 | 1222112100 |
| As time | 39024 seconds = 10 h 50 min 24 s |
Is 39024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39024 ÷ 2 = 19512) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39024 ÷ 3 = 13008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (39024 ÷ 4 = 9756) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (39024 ÷ 6 = 6504) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (39024 ÷ 8 = 4878) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (39024 ÷ 9 = 4336) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (39024 ÷ 12 = 3252) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39024 a prime number?
No. 39024 = × × 271, so it is divisible by 2.
What are the factors of 39024?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 271, 542, 813, 1084, 1626, 2168, 2439, 3252, 4336, 4878, 6504, 9756, 13008, 19512, 39024.
What is 39024 in binary?
1001100001110000 (hexadecimal 9870, octal 114160).
What is the square root of 39024?
About 197.5449, exactly 12√271.
Is 39024 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 39024?
39024 is a Harshad number: divisible by its digit sum 18.