The number 55696
55696 is a perfect square (236²). Its prime factorisation is × . Divisors (15): 1, 2, 4, 8, 16, 59, 118, 236, 472, 944, 3481, 6962, 13924, 27848, 55696.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55696: a perfect square (236²); a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55696 is composite. Its prime factorisation is
- 3
The divisors add up to 109771; without 55696 itself that is 54075, so 55696 is deficient (54075 is less than 55696). Euler's totient φ(55696) = 27376 numbers up to 55696 share no factor with it.
- 4
The digits of 55696 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55696 = 2^{4} \times 59^{2} \]55696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 109771 |
| Euler totient φ(n) | 27376 |
| Square | 3102044416 |
| Cube | 172771465793536 |
| Square root | 236 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5696 × |
| Perfect power |
55696 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and ninety-six |
| Binary (base 2) | 1101100110010000 |
| Octal (base 8) | 154620 |
| Hexadecimal (base 16) | D990 |
| Base 3 | 2211101211 |
| As time | 55696 seconds = 15 h 28 min 16 s |
Is 55696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55696 ÷ 2 = 27848) | 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 (55696 ÷ 4 = 13924) | 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 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 (55696 ÷ 8 = 6962) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | 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 55696 a prime number?
No. 55696 = × , so it is divisible by 2.
What are the factors of 55696?
1, 2, 4, 8, 16, 59, 118, 236, 472, 944, 3481, 6962, 13924, 27848, 55696.
What is 55696 in binary?
1101100110010000 (hexadecimal D990, octal 154620).
What is the square root of 55696?
236, because 236 × 236 = 55696.
Is 55696 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 55696?
55696 is a perfect square (236²); a happy number: repeatedly adding the squares of its digits reaches 1.