The number 59994
59994 is a composite number with 32 divisors. Its prime factorisation is 2 × × 11 × 101. Divisors (32): 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 101, 198, 202 … 59994.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59994 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59994 is composite. Its prime factorisation is
- 3
The divisors add up to 146880; without 59994 itself that is 86886, so 59994 is abundant (86886 is more than 59994). Euler's totient φ(59994) = 18000 numbers up to 59994 share no factor with it.
- 4
The digits of 59994 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59994 = 2 \times 3^{3} \times 11 \times 101 \]59994 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 146880 |
| Euler totient φ(n) | 18000 |
| Square | 3599280036 |
| Cube | 215935206479784 |
| Square root | 244.936727 (= 3√6666) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.9994 × |
59994 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand nine hundred and ninety-four |
| Binary (base 2) | 1110101001011010 |
| Octal (base 8) | 165132 |
| Hexadecimal (base 16) | EA5A |
| Base 3 | 10001022000 |
| As time | 59994 seconds = 16 h 39 min 54 s |
Is 59994 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59994 ÷ 2 = 29997) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (59994 ÷ 3 = 19998) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (59994 ÷ 6 = 9999) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (59994 ÷ 9 = 6666) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (59994 ÷ 11 = 5454) | 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 59994 a prime number?
No. 59994 = 2 × × 11 × 101, so it is divisible by 2.
What are the factors of 59994?
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 101, 198, 202, 297, 303, 594, 606, 909, 1111, 1818, 2222, 2727, 3333, 5454, 6666, 9999, 19998, 29997, 59994.
What is 59994 in binary?
1110101001011010 (hexadecimal EA5A, octal 165132).
What is the square root of 59994?
About 244.9367, exactly 3√6666.
Is 59994 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 59994?
It is a composite number with 32 divisors.