The number 55396
55396 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1259. Divisors (12): 1, 2, 4, 11, 22, 44, 1259, 2518, 5036, 13849, 27698, 55396.
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How to work it out
- 1
What is special about 55396: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55396 is composite. Its prime factorisation is
- 3
The divisors add up to 105840; without 55396 itself that is 50444, so 55396 is deficient (50444 is less than 55396). Euler's totient φ(55396) = 25160 numbers up to 55396 share no factor with it.
- 4
The digits of 55396 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55396 = 2^{2} \times 11 \times 1259 \]55396 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 105840 |
| Euler totient φ(n) | 25160 |
| Square | 3068716816 |
| Cube | 169994636739136 |
| Square root | 235.363549 (= 2√13849) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5396 × |
55396 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and ninety-six |
| Binary (base 2) | 1101100001100100 |
| Octal (base 8) | 154144 |
| Hexadecimal (base 16) | D864 |
| Base 3 | 2210222201 |
| As time | 55396 seconds = 15 h 23 min 16 s |
Is 55396 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55396 ÷ 2 = 27698) | 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 (55396 ÷ 4 = 13849) | 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 5) | 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 4) | 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 | Yes (55396 ÷ 11 = 5036) | 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 55396 a prime number?
No. 55396 = × 11 × 1259, so it is divisible by 2.
What are the factors of 55396?
1, 2, 4, 11, 22, 44, 1259, 2518, 5036, 13849, 27698, 55396.
What is 55396 in binary?
1101100001100100 (hexadecimal D864, octal 154144).
What is the square root of 55396?
About 235.3635, exactly 2√13849.
Is 55396 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 55396?
55396 is a happy number: repeatedly adding the squares of its digits reaches 1.