The number 59375
59375 is a composite number with 12 divisors. Its prime factorisation is Ć 19. Divisors (12): 1, 5, 19, 25, 95, 125, 475, 625, 2375, 3125, 11875, 59375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59375 is composite. Its prime factorisation is
- 3
The divisors add up to 78120; without 59375 itself that is 18745, so 59375 is deficient (18745 is less than 59375). Euler's totient Ļ(59375) = 45000 numbers up to 59375 share no factor with it.
- 4
The digits of 59375 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59375 = 5^{5} \times 19 \]59375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 78120 |
| Euler totient Ļ(n) | 45000 |
| Square | 3525390625 |
| Cube | 209320068359375 |
| Square root | 243.669859 (= 25ā95) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.9375 Ć |
59375 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand three hundred and seventy-five |
| Binary (base 2) | 1110011111101111 |
| Octal (base 8) | 163757 |
| Hexadecimal (base 16) | E7EF |
| Base 3 | 10000110002 |
| As time | 59375 seconds = 16 h 29 min 35 s |
Is 59375 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59375 Ć· 5 = 11875) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59375 a prime number?
No. 59375 = Ć 19, so it is divisible by 5.
What are the factors of 59375?
1, 5, 19, 25, 95, 125, 475, 625, 2375, 3125, 11875, 59375.
What is 59375 in binary?
1110011111101111 (hexadecimal E7EF, octal 163757).
What is the square root of 59375?
About 243.6699, exactly 25ā95.
Is 59375 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 59375?
It is a composite number with 12 divisors.