The number 55936
55936 is a composite number with 32 divisors. Its prime factorisation is × 19 × 23. Divisors (32): 1, 2, 4, 8, 16, 19, 23, 32, 38, 46, 64, 76, 92, 128, 152, 184 … 55936.
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How to work it out
- 1
What is special about 55936: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55936 is composite. Its prime factorisation is
- 3
The divisors add up to 122400; without 55936 itself that is 66464, so 55936 is abundant (66464 is more than 55936). Euler's totient φ(55936) = 25344 numbers up to 55936 share no factor with it.
- 4
The digits of 55936 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 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55936 = 2^{7} \times 19 \times 23 \]55936 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 122400 |
| Euler totient φ(n) | 25344 |
| Square | 3128836096 |
| Cube | 175014575865856 |
| Square root | 236.507928 (= 8√874) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.5936 × |
55936 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and thirty-six |
| Binary (base 2) | 1101101010000000 |
| Octal (base 8) | 155200 |
| Hexadecimal (base 16) | DA80 |
| Base 3 | 2211201201 |
| As time | 55936 seconds = 15 h 32 min 16 s |
Is 55936 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55936 ÷ 2 = 27968) | 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 (55936 ÷ 4 = 13984) | 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 6) | 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 (55936 ÷ 8 = 6992) | 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 1) | 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 55936 a prime number?
No. 55936 = × 19 × 23, so it is divisible by 2.
What are the factors of 55936?
1, 2, 4, 8, 16, 19, 23, 32, 38, 46, 64, 76, 92, 128, 152, 184, 304, 368, 437, 608, 736, 874, 1216, 1472, 1748, 2432, 2944, 3496, 6992, 13984, 27968, 55936.
What is 55936 in binary?
1101101010000000 (hexadecimal DA80, octal 155200).
What is the square root of 55936?
About 236.5079, exactly 8√874.
Is 55936 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 55936?
55936 is a happy number: repeatedly adding the squares of its digits reaches 1.