The number 82377
82377 is a composite number with 14 divisors. Its prime factorisation is × 113. Divisors (14): 1, 3, 9, 27, 81, 113, 243, 339, 729, 1017, 3051, 9153, 27459, 82377.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 82377: a Harshad number: divisible by its digit sum 27.
- 2
82377 is composite. Its prime factorisation is
- 3
The divisors add up to 124602; without 82377 itself that is 42225, so 82377 is deficient (42225 is less than 82377). Euler's totient φ(82377) = 54432 numbers up to 82377 share no factor with it.
- 4
The digits of 82377 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82377 = 3^{6} \times 113 \]82377 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 124602 |
| Euler totient φ(n) | 54432 |
| Square | 6785970129 |
| Cube | 559007861316633 |
| Square root | 287.013937 (= 27√113) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 8.2377 × |
82377 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand three hundred and seventy-seven |
| Binary (base 2) | 10100000111001001 |
| Octal (base 8) | 240711 |
| Hexadecimal (base 16) | 141C9 |
| Base 3 | 11012000000 |
| As time | 82377 seconds = 22 h 52 min 57 s |
Is 82377 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 (82377 ÷ 3 = 27459) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (82377 ÷ 9 = 9153) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82377 a prime number?
No. 82377 = × 113, so it is divisible by 3.
What are the factors of 82377?
1, 3, 9, 27, 81, 113, 243, 339, 729, 1017, 3051, 9153, 27459, 82377.
What is 82377 in binary?
10100000111001001 (hexadecimal 141C9, octal 240711).
What is the square root of 82377?
About 287.0139, exactly 27√113.
Is 82377 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 82377?
82377 is a Harshad number: divisible by its digit sum 27.