The number 55204
55204 is a composite number with 12 divisors. Its prime factorisation is × 37 × 373. Divisors (12): 1, 2, 4, 37, 74, 148, 373, 746, 1492, 13801, 27602, 55204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55204: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55204 is composite. Its prime factorisation is
- 3
The divisors add up to 99484; without 55204 itself that is 44280, so 55204 is deficient (44280 is less than 55204). Euler's totient φ(55204) = 26784 numbers up to 55204 share no factor with it.
- 4
The digits of 55204 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55204 = 2^{2} \times 37 \times 373 \]55204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 99484 |
| Euler totient φ(n) | 26784 |
| Square | 3047481616 |
| Cube | 168233175129664 |
| Square root | 234.955315 (= 2√13801) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.5204 × |
55204 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and four |
| Binary (base 2) | 1101011110100100 |
| Octal (base 8) | 153644 |
| Hexadecimal (base 16) | D7A4 |
| Base 3 | 2210201121 |
| As time | 55204 seconds = 15 h 20 min 4 s |
Is 55204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55204 ÷ 2 = 27602) | 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 (55204 ÷ 4 = 13801) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 2) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 55204 a prime number?
No. 55204 = × 37 × 373, so it is divisible by 2.
What are the factors of 55204?
1, 2, 4, 37, 74, 148, 373, 746, 1492, 13801, 27602, 55204.
What is 55204 in binary?
1101011110100100 (hexadecimal D7A4, octal 153644).
What is the square root of 55204?
About 234.9553, exactly 2√13801.
Is 55204 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 55204?
55204 is a happy number: repeatedly adding the squares of its digits reaches 1.