The number 78327
78327 is a composite number with 10 divisors. Its prime factorisation is × 967. Divisors (10): 1, 3, 9, 27, 81, 967, 2901, 8703, 26109, 78327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 78327: a Harshad number: divisible by its digit sum 27.
- 2
78327 is composite. Its prime factorisation is
- 3
The divisors add up to 117128; without 78327 itself that is 38801, so 78327 is deficient (38801 is less than 78327). Euler's totient φ(78327) = 52164 numbers up to 78327 share no factor with it.
- 4
The digits of 78327 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78327 = 3^{4} \times 967 \]78327 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 117128 |
| Euler totient φ(n) | 52164 |
| Square | 6135118929 |
| Cube | 480545460351783 |
| Square root | 279.869612 (= 9√967) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.8327 × |
78327 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand three hundred and twenty-seven |
| Binary (base 2) | 10011000111110111 |
| Octal (base 8) | 230767 |
| Hexadecimal (base 16) | 131F7 |
| Base 3 | 10222110000 |
| As time | 78327 seconds = 21 h 45 min 27 s |
Is 78327 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (78327 ÷ 3 = 26109) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (78327 ÷ 9 = 8703) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 78327 a prime number?
No. 78327 = × 967, so it is divisible by 3.
What are the factors of 78327?
1, 3, 9, 27, 81, 967, 2901, 8703, 26109, 78327.
What is 78327 in binary?
10011000111110111 (hexadecimal 131F7, octal 230767).
What is the square root of 78327?
About 279.8696, exactly 9√967.
Is 78327 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 78327?
78327 is a Harshad number: divisible by its digit sum 27.