The number 55573
55573 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 467. Divisors (8): 1, 7, 17, 119, 467, 3269, 7939, 55573.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55573: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55573 is composite. Its prime factorisation is
- 3
The divisors add up to 67392; without 55573 itself that is 11819, so 55573 is deficient (11819 is less than 55573). Euler's totient φ(55573) = 44736 numbers up to 55573 share no factor with it.
- 4
The digits of 55573 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
\[ 55573 = 7 \times 17 \times 467 \]
55573 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 67392 |
| Euler totient φ(n) | 44736 |
| Square | 3088358329 |
| Cube | 171629337417517 |
| Square root | 235.739263 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5573 × |
55573 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and seventy-three |
| Binary (base 2) | 1101100100010101 |
| Octal (base 8) | 154425 |
| Hexadecimal (base 16) | D915 |
| Base 3 | 2211020021 |
| As time | 55573 seconds = 15 h 26 min 13 s |
Is 55573 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55573 ÷ 7 = 7939) | 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 5) | 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 3) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55573 a prime number?
No. 55573 = 7 × 17 × 467, so it is divisible by 7.
What are the factors of 55573?
1, 7, 17, 119, 467, 3269, 7939, 55573.
What is 55573 in binary?
1101100100010101 (hexadecimal D915, octal 154425).
What is the square root of 55573?
About 235.7393.
Is 55573 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55573?
55573 is a happy number: repeatedly adding the squares of its digits reaches 1.