The number 59108
59108 is a composite number with 12 divisors. Its prime factorisation is × 7 × 2111. Divisors (12): 1, 2, 4, 7, 14, 28, 2111, 4222, 8444, 14777, 29554, 59108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59108 is composite. Its prime factorisation is
- 3
The divisors add up to 118272; without 59108 itself that is 59164, so 59108 is abundant (59164 is more than 59108). Euler's totient φ(59108) = 25320 numbers up to 59108 share no factor with it.
- 4
The digits of 59108 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59108 = 2^{2} \times 7 \times 2111 \]59108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 118272 |
| Euler totient φ(n) | 25320 |
| Square | 3493755664 |
| Cube | 206508909787712 |
| Square root | 243.121369 (= 2√14777) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9108 × |
59108 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand one hundred and eight |
| Binary (base 2) | 1110011011100100 |
| Octal (base 8) | 163344 |
| Hexadecimal (base 16) | E6E4 |
| Base 3 | 10000002012 |
| As time | 59108 seconds = 16 h 25 min 8 s |
Is 59108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59108 ÷ 2 = 29554) | 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 (59108 ÷ 4 = 14777) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (59108 ÷ 7 = 8444) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 59108 a prime number?
No. 59108 = × 7 × 2111, so it is divisible by 2.
What are the factors of 59108?
1, 2, 4, 7, 14, 28, 2111, 4222, 8444, 14777, 29554, 59108.
What is 59108 in binary?
1110011011100100 (hexadecimal E6E4, octal 163344).
What is the square root of 59108?
About 243.1214, exactly 2√14777.
Is 59108 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 59108?
It is a composite number with 12 divisors.