The number 78708
78708 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 937. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 937, 1874, 2811, 3748 … 78708.
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How to work it out
- 1
What is special about 78708: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
78708 is composite. Its prime factorisation is
- 3
The divisors add up to 210112; without 78708 itself that is 131404, so 78708 is abundant (131404 is more than 78708). Euler's totient φ(78708) = 22464 numbers up to 78708 share no factor with it.
- 4
The digits of 78708 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78708 = 2^{2} \times 3 \times 7 \times 937 \]78708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 210112 |
| Euler totient φ(n) | 22464 |
| Square | 6194949264 |
| Cube | 487592066670912 |
| Square root | 280.549461 (= 2√19677) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.8708 × |
78708 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand seven hundred and eight |
| Binary (base 2) | 10011001101110100 |
| Octal (base 8) | 231564 |
| Hexadecimal (base 16) | 13374 |
| Base 3 | 10222222010 |
| As time | 78708 seconds = 21 h 51 min 48 s |
Is 78708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (78708 ÷ 2 = 39354) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (78708 ÷ 3 = 26236) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (78708 ÷ 4 = 19677) | 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 (78708 ÷ 6 = 13118) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (78708 ÷ 7 = 11244) | 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 4) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (78708 ÷ 12 = 6559) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 78708 a prime number?
No. 78708 = × 3 × 7 × 937, so it is divisible by 2.
What are the factors of 78708?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 937, 1874, 2811, 3748, 5622, 6559, 11244, 13118, 19677, 26236, 39354, 78708.
What is 78708 in binary?
10011001101110100 (hexadecimal 13374, octal 231564).
What is the square root of 78708?
About 280.5495, exactly 2√19677.
Is 78708 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 78708?
78708 is a happy number: repeatedly adding the squares of its digits reaches 1.