The number 55348
55348 is a composite number with 12 divisors. Its prime factorisation is × 101 × 137. Divisors (12): 1, 2, 4, 101, 137, 202, 274, 404, 548, 13837, 27674, 55348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55348: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55348 is composite. Its prime factorisation is
- 3
The divisors add up to 98532; without 55348 itself that is 43184, so 55348 is deficient (43184 is less than 55348). Euler's totient φ(55348) = 27200 numbers up to 55348 share no factor with it.
- 4
The digits of 55348 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55348 = 2^{2} \times 101 \times 137 \]55348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98532 |
| Euler totient φ(n) | 27200 |
| Square | 3063401104 |
| Cube | 169553124304192 |
| Square root | 235.261557 (= 2√13837) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5348 × |
55348 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and forty-eight |
| Binary (base 2) | 1101100000110100 |
| Octal (base 8) | 154064 |
| Hexadecimal (base 16) | D834 |
| Base 3 | 2210220221 |
| As time | 55348 seconds = 15 h 22 min 28 s |
Is 55348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55348 ÷ 2 = 27674) | 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 (55348 ÷ 4 = 13837) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 55348 a prime number?
No. 55348 = × 101 × 137, so it is divisible by 2.
What are the factors of 55348?
1, 2, 4, 101, 137, 202, 274, 404, 548, 13837, 27674, 55348.
What is 55348 in binary?
1101100000110100 (hexadecimal D834, octal 154064).
What is the square root of 55348?
About 235.2616, exactly 2√13837.
Is 55348 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55348?
55348 is a happy number: repeatedly adding the squares of its digits reaches 1.