The number 59006
59006 is a composite number with 8 divisors. Its prime factorisation is 2 × 163 × 181. Divisors (8): 1, 2, 163, 181, 326, 362, 29503, 59006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59006 is composite. Its prime factorisation is
- 3
The divisors add up to 89544; without 59006 itself that is 30538, so 59006 is deficient (30538 is less than 59006). Euler's totient φ(59006) = 29160 numbers up to 59006 share no factor with it.
- 4
The digits of 59006 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59006 = 2 \times 163 \times 181 \]
59006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 89544 |
| Euler totient φ(n) | 29160 |
| Square | 3481708036 |
| Cube | 205441664372216 |
| Square root | 242.911507 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.9006 × |
59006 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and six |
| Binary (base 2) | 1110011001111110 |
| Octal (base 8) | 163176 |
| Hexadecimal (base 16) | E67E |
| Base 3 | 2222221102 |
| As time | 59006 seconds = 16 h 23 min 26 s |
Is 59006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59006 ÷ 2 = 29503) | 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 | No (remainder 2) | 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 3) | 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 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59006 a prime number?
No. 59006 = 2 × 163 × 181, so it is divisible by 2.
What are the factors of 59006?
1, 2, 163, 181, 326, 362, 29503, 59006.
What is 59006 in binary?
1110011001111110 (hexadecimal E67E, octal 163176).
What is the square root of 59006?
About 242.9115.
Is 59006 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 59006?
It is a composite number with 8 divisors.