The number 39000
39000 is a composite number with 64 divisors. Its prime factorisation is × 3 × × 13. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30 … 39000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39000: a Harshad number: divisible by its digit sum 12.
- 2
39000 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 39000 itself that is 92040, so 39000 is abundant (92040 is more than 39000). Euler's totient φ(39000) = 9600 numbers up to 39000 share no factor with it.
- 4
The digits of 39000 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39000 = 2^{3} \times 3 \times 5^{3} \times 13 \]39000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 9600 |
| Square | 1521000000 |
| Cube | 59319000000000 |
| Square root | 197.484177 (= 10√390) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.9 × |
39000 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand |
| Binary (base 2) | 1001100001011000 |
| Octal (base 8) | 114130 |
| Hexadecimal (base 16) | 9858 |
| Base 3 | 1222111110 |
| As time | 39000 seconds = 10 h 50 min 0 s |
Is 39000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39000 ÷ 2 = 19500) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39000 ÷ 3 = 13000) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (39000 ÷ 4 = 9750) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (39000 ÷ 5 = 7800) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (39000 ÷ 6 = 6500) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (39000 ÷ 8 = 4875) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (39000 ÷ 10 = 3900) | 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 | Yes (39000 ÷ 12 = 3250) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39000 a prime number?
No. 39000 = × 3 × × 13, so it is divisible by 2.
What are the factors of 39000?
1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 125, 130, 150, 156, 195, 200, 250, 260, 300, 312, 325, 375, 390, 500, 520, 600, 650, 750, 780, 975, 1000, 1300, 1500, 1560, 1625, 1950, 2600, 3000, 3250, 3900, 4875, 6500, 7800, 9750, 13000, 19500, 39000.
What is 39000 in binary?
1001100001011000 (hexadecimal 9858, octal 114130).
What is the square root of 39000?
About 197.4842, exactly 10√390.
Is 39000 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 39000?
39000 is a Harshad number: divisible by its digit sum 12.