The number 59841
59841 is a composite number with 12 divisors. Its prime factorisation is × 61 × 109. Divisors (12): 1, 3, 9, 61, 109, 183, 327, 549, 981, 6649, 19947, 59841.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59841 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59841 is composite. Its prime factorisation is
- 3
The divisors add up to 88660; without 59841 itself that is 28819, so 59841 is deficient (28819 is less than 59841). Euler's totient φ(59841) = 38880 numbers up to 59841 share no factor with it.
- 4
The digits of 59841 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 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59841 = 3^{2} \times 61 \times 109 \]59841 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 88660 |
| Euler totient φ(n) | 38880 |
| Square | 3580945281 |
| Cube | 214287346560321 |
| Square root | 244.624202 (= 3√6649) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 117 |
| Scientific notation | 5.9841 × |
59841 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand eight hundred and forty-one |
| Binary (base 2) | 1110100111000001 |
| Octal (base 8) | 164701 |
| Hexadecimal (base 16) | E9C1 |
| Base 3 | 10001002100 |
| As time | 59841 seconds = 16 h 37 min 21 s |
Is 59841 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 (59841 ÷ 3 = 19947) | 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 1) | 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 5) | 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 (59841 ÷ 9 = 6649) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 59841 a prime number?
No. 59841 = × 61 × 109, so it is divisible by 3.
What are the factors of 59841?
1, 3, 9, 61, 109, 183, 327, 549, 981, 6649, 19947, 59841.
What is 59841 in binary?
1110100111000001 (hexadecimal E9C1, octal 164701).
What is the square root of 59841?
About 244.6242, exactly 3√6649.
Is 59841 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 59841?
It is a composite number with 12 divisors.