The number 59168
59168 is a composite number with 18 divisors. Its prime factorisation is × . Divisors (18): 1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688, 1376, 1849, 3698, 7396, 14792 … 59168.
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How to work it out
- 1
59168 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59168 is composite. Its prime factorisation is
- 3
The divisors add up to 119259; without 59168 itself that is 60091, so 59168 is abundant (60091 is more than 59168). Euler's totient φ(59168) = 28896 numbers up to 59168 share no factor with it.
- 4
The digits of 59168 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59168 = 2^{5} \times 43^{2} \]59168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 119259 |
| Euler totient φ(n) | 28896 |
| Square | 3500852224 |
| Cube | 207138424389632 |
| Square root | 243.244733 (= 172√2) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9168 × |
59168 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand one hundred and sixty-eight |
| Binary (base 2) | 1110011100100000 |
| Octal (base 8) | 163440 |
| Hexadecimal (base 16) | E720 |
| Base 3 | 10000011102 |
| As time | 59168 seconds = 16 h 26 min 8 s |
Is 59168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59168 ÷ 2 = 29584) | 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 (59168 ÷ 4 = 14792) | 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 | 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 | Yes (59168 ÷ 8 = 7396) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 59168 a prime number?
No. 59168 = × , so it is divisible by 2.
What are the factors of 59168?
1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688, 1376, 1849, 3698, 7396, 14792, 29584, 59168.
What is 59168 in binary?
1110011100100000 (hexadecimal E720, octal 163440).
What is the square root of 59168?
About 243.2447, exactly 172√2.
Is 59168 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 59168?
It is a composite number with 18 divisors.