The number 59025
59025 is a composite number with 12 divisors. Its prime factorisation is 3 × × 787. Divisors (12): 1, 3, 5, 15, 25, 75, 787, 2361, 3935, 11805, 19675, 59025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
59025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59025 is composite. Its prime factorisation is
- 3
The divisors add up to 97712; without 59025 itself that is 38687, so 59025 is deficient (38687 is less than 59025). Euler's totient φ(59025) = 31440 numbers up to 59025 share no factor with it.
- 4
The digits of 59025 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59025 = 3 \times 5^{2} \times 787 \]59025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 97712 |
| Euler totient φ(n) | 31440 |
| Square | 3483950625 |
| Cube | 205640185640625 |
| Square root | 242.950612 (= 5√2361) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.9025 × |
59025 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and twenty-five |
| Binary (base 2) | 1110011010010001 |
| Octal (base 8) | 163221 |
| Hexadecimal (base 16) | E691 |
| Base 3 | 2222222010 |
| As time | 59025 seconds = 16 h 23 min 45 s |
Is 59025 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 | Yes (59025 ÷ 3 = 19675) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (59025 ÷ 5 = 11805) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59025 a prime number?
No. 59025 = 3 × × 787, so it is divisible by 3.
What are the factors of 59025?
1, 3, 5, 15, 25, 75, 787, 2361, 3935, 11805, 19675, 59025.
What is 59025 in binary?
1110011010010001 (hexadecimal E691, octal 163221).
What is the square root of 59025?
About 242.9506, exactly 5√2361.
Is 59025 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 59025?
It is a composite number with 12 divisors.