The number 39078
39078 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 167. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 167, 234, 334, 501, 1002 … 39078.
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How to work it out
- 1
What is special about 39078: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
39078 is composite. Its prime factorisation is
- 3
The divisors add up to 91728; without 39078 itself that is 52650, so 39078 is abundant (52650 is more than 39078). Euler's totient φ(39078) = 11952 numbers up to 39078 share no factor with it.
- 4
The digits of 39078 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39078 = 2 \times 3^{2} \times 13 \times 167 \]39078 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91728 |
| Euler totient φ(n) | 11952 |
| Square | 1527090084 |
| Cube | 59675626302552 |
| Square root | 197.681562 (= 3√4342) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.9078 × |
39078 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand and seventy-eight |
| Binary (base 2) | 1001100010100110 |
| Octal (base 8) | 114246 |
| Hexadecimal (base 16) | 98A6 |
| Base 3 | 1222121100 |
| As time | 39078 seconds = 10 h 51 min 18 s |
Is 39078 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39078 ÷ 2 = 19539) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39078 ÷ 3 = 13026) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (39078 ÷ 6 = 6513) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (39078 ÷ 9 = 4342) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39078 a prime number?
No. 39078 = 2 × × 13 × 167, so it is divisible by 2.
What are the factors of 39078?
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 167, 234, 334, 501, 1002, 1503, 2171, 3006, 4342, 6513, 13026, 19539, 39078.
What is 39078 in binary?
1001100010100110 (hexadecimal 98A6, octal 114246).
What is the square root of 39078?
About 197.6816, exactly 3√4342.
Is 39078 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 39078?
39078 is a happy number: repeatedly adding the squares of its digits reaches 1.