The number 59996
59996 is a composite number with 12 divisors. Its prime factorisation is × 53 × 283. Divisors (12): 1, 2, 4, 53, 106, 212, 283, 566, 1132, 14999, 29998, 59996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59996 is composite. Its prime factorisation is
- 3
The divisors add up to 107352; without 59996 itself that is 47356, so 59996 is deficient (47356 is less than 59996). Euler's totient φ(59996) = 29328 numbers up to 59996 share no factor with it.
- 4
The digits of 59996 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59996 = 2^{2} \times 53 \times 283 \]59996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 107352 |
| Euler totient φ(n) | 29328 |
| Square | 3599520016 |
| Cube | 215956802879936 |
| Square root | 244.940809 (= 2√14999) |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.9996 × |
59996 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and ninety-six |
| Binary (base 2) | 1110101001011100 |
| Octal (base 8) | 165134 |
| Hexadecimal (base 16) | EA5C |
| Base 3 | 10001022002 |
| As time | 59996 seconds = 16 h 39 min 56 s |
Is 59996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59996 ÷ 2 = 29998) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59996 ÷ 4 = 14999) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59996 a prime number?
No. 59996 = × 53 × 283, so it is divisible by 2.
What are the factors of 59996?
1, 2, 4, 53, 106, 212, 283, 566, 1132, 14999, 29998, 59996.
What is 59996 in binary?
1110101001011100 (hexadecimal EA5C, octal 165134).
What is the square root of 59996?
About 244.9408, exactly 2√14999.
Is 59996 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 59996?
It is a composite number with 12 divisors.