The number 59982
59982 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 769. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 769, 1538, 2307, 4614, 9997, 19994, 29991, 59982.
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How to work it out
- 1
59982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59982 is composite. Its prime factorisation is
- 3
The divisors add up to 129360; without 59982 itself that is 69378, so 59982 is abundant (69378 is more than 59982). Euler's totient φ(59982) = 18432 numbers up to 59982 share no factor with it.
- 4
The digits of 59982 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 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59982 = 2 \times 3 \times 13 \times 769 \]
59982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 129360 |
| Euler totient φ(n) | 18432 |
| Square | 3597840324 |
| Cube | 215805658314168 |
| Square root | 244.912229 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.9982 × |
59982 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and eighty-two |
| Binary (base 2) | 1110101001001110 |
| Octal (base 8) | 165116 |
| Hexadecimal (base 16) | EA4E |
| Base 3 | 10001021120 |
| As time | 59982 seconds = 16 h 39 min 42 s |
Is 59982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59982 ÷ 2 = 29991) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59982 ÷ 3 = 19994) | 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 (59982 ÷ 6 = 9997) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 10) | 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 59982 a prime number?
No. 59982 = 2 × 3 × 13 × 769, so it is divisible by 2.
What are the factors of 59982?
1, 2, 3, 6, 13, 26, 39, 78, 769, 1538, 2307, 4614, 9997, 19994, 29991, 59982.
What is 59982 in binary?
1110101001001110 (hexadecimal EA4E, octal 165116).
What is the square root of 59982?
About 244.9122.
Is 59982 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 59982?
It is a composite number with 16 divisors.