The number 59164
59164 is a composite number with 12 divisors. Its prime factorisation is × 7 × 2113. Divisors (12): 1, 2, 4, 7, 14, 28, 2113, 4226, 8452, 14791, 29582, 59164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59164 is composite. Its prime factorisation is
- 3
The divisors add up to 118384; without 59164 itself that is 59220, so 59164 is abundant (59220 is more than 59164). Euler's totient φ(59164) = 25344 numbers up to 59164 share no factor with it.
- 4
The digits of 59164 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59164 = 2^{2} \times 7 \times 2113 \]59164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 118384 |
| Euler totient φ(n) | 25344 |
| Square | 3500378896 |
| Cube | 207096417002944 |
| Square root | 243.236510 (= 2√14791) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.9164 × |
59164 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand one hundred and sixty-four |
| Binary (base 2) | 1110011100011100 |
| Octal (base 8) | 163434 |
| Hexadecimal (base 16) | E71C |
| Base 3 | 10000011021 |
| As time | 59164 seconds = 16 h 26 min 4 s |
Is 59164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59164 ÷ 2 = 29582) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (59164 ÷ 4 = 14791) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (59164 ÷ 7 = 8452) | 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 7) | 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 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59164 a prime number?
No. 59164 = × 7 × 2113, so it is divisible by 2.
What are the factors of 59164?
1, 2, 4, 7, 14, 28, 2113, 4226, 8452, 14791, 29582, 59164.
What is 59164 in binary?
1110011100011100 (hexadecimal E71C, octal 163434).
What is the square root of 59164?
About 243.2365, exactly 2√14791.
Is 59164 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 59164?
It is a composite number with 12 divisors.