The number 59943
59943 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 29 × 53. Divisors (16): 1, 3, 13, 29, 39, 53, 87, 159, 377, 689, 1131, 1537, 2067, 4611, 19981, 59943.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59943 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59943 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 59943 itself that is 30777, so 59943 is deficient (30777 is less than 59943). Euler's totient φ(59943) = 34944 numbers up to 59943 share no factor with it.
- 4
The digits of 59943 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59943 = 3 \times 13 \times 29 \times 53 \]
59943 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 34944 |
| Square | 3593163249 |
| Cube | 215384984634807 |
| Square root | 244.832596 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.9943 × |
59943 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and forty-three |
| Binary (base 2) | 1110101000100111 |
| Octal (base 8) | 165047 |
| Hexadecimal (base 16) | EA27 |
| Base 3 | 10001020010 |
| As time | 59943 seconds = 16 h 39 min 3 s |
Is 59943 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 (59943 ÷ 3 = 19981) | 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 3) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 59943 a prime number?
No. 59943 = 3 × 13 × 29 × 53, so it is divisible by 3.
What are the factors of 59943?
1, 3, 13, 29, 39, 53, 87, 159, 377, 689, 1131, 1537, 2067, 4611, 19981, 59943.
What is 59943 in binary?
1110101000100111 (hexadecimal EA27, octal 165047).
What is the square root of 59943?
About 244.8326.
Is 59943 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 59943?
It is a composite number with 16 divisors.