The number 59536
59536 is a perfect square (244²). Its prime factorisation is × . Divisors (15): 1, 2, 4, 8, 16, 61, 122, 244, 488, 976, 3721, 7442, 14884, 29768, 59536.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59536: a perfect square (244²); a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
59536 is composite. Its prime factorisation is
- 3
The divisors add up to 117273; without 59536 itself that is 57737, so 59536 is deficient (57737 is less than 59536). Euler's totient φ(59536) = 29280 numbers up to 59536 share no factor with it.
- 4
The digits of 59536 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59536 = 2^{4} \times 61^{2} \]59536 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 117273 |
| Euler totient φ(n) | 29280 |
| Square | 3544535296 |
| Cube | 211027453382656 |
| Square root | 244 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9536 × |
| Perfect power |
59536 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand five hundred and thirty-six |
| Binary (base 2) | 1110100010010000 |
| Octal (base 8) | 164220 |
| Hexadecimal (base 16) | E890 |
| Base 3 | 10000200001 |
| As time | 59536 seconds = 16 h 32 min 16 s |
Is 59536 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59536 ÷ 2 = 29768) | 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 (59536 ÷ 4 = 14884) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | 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 | Yes (59536 ÷ 8 = 7442) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 59536 a prime number?
No. 59536 = × , so it is divisible by 2.
What are the factors of 59536?
1, 2, 4, 8, 16, 61, 122, 244, 488, 976, 3721, 7442, 14884, 29768, 59536.
What is 59536 in binary?
1110100010010000 (hexadecimal E890, octal 164220).
What is the square root of 59536?
244, because 244 × 244 = 59536.
Is 59536 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 59536?
59536 is a perfect square (244²); a happy number: repeatedly adding the squares of its digits reaches 1.