The number 77982
77982 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 41 × 317. Divisors (16): 1, 2, 3, 6, 41, 82, 123, 246, 317, 634, 951, 1902, 12997, 25994, 38991, 77982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77982 is composite. Its prime factorisation is
- 3
The divisors add up to 160272; without 77982 itself that is 82290, so 77982 is abundant (82290 is more than 77982). Euler's totient φ(77982) = 25280 numbers up to 77982 share no factor with it.
- 4
The digits of 77982 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77982 = 2 \times 3 \times 41 \times 317 \]
77982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 160272 |
| Euler totient φ(n) | 25280 |
| Square | 6081192324 |
| Cube | 474223539810168 |
| Square root | 279.252574 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7982 × |
77982 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and eighty-two |
| Binary (base 2) | 10011000010011110 |
| Octal (base 8) | 230236 |
| Hexadecimal (base 16) | 1309E |
| Base 3 | 10221222020 |
| As time | 77982 seconds = 21 h 39 min 42 s |
Is 77982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77982 ÷ 2 = 38991) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77982 ÷ 3 = 25994) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77982 ÷ 6 = 12997) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77982 a prime number?
No. 77982 = 2 × 3 × 41 × 317, so it is divisible by 2.
What are the factors of 77982?
1, 2, 3, 6, 41, 82, 123, 246, 317, 634, 951, 1902, 12997, 25994, 38991, 77982.
What is 77982 in binary?
10011000010011110 (hexadecimal 1309E, octal 230236).
What is the square root of 77982?
About 279.2526.
Is 77982 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 77982?
It is a composite number with 16 divisors.