The number 55307
55307 is a composite number with 4 divisors. Its prime factorisation is 7 × 7901. Divisors (4): 1, 7, 7901, 55307.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55307: a semiprime: 7 × 7901, the product of two primes.
- 2
55307 is composite. Its prime factorisation is
- 3
The divisors add up to 63216; without 55307 itself that is 7909, so 55307 is deficient (7909 is less than 55307). Euler's totient φ(55307) = 47400 numbers up to 55307 share no factor with it.
- 4
The digits of 55307 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55307 = 7 \times 7901 \]
55307 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 63216 |
| Euler totient φ(n) | 47400 |
| Square | 3058864249 |
| Cube | 169176605019443 |
| Square root | 235.174403 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5307 × |
55307 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and seven |
| Binary (base 2) | 1101100000001011 |
| Octal (base 8) | 154013 |
| Hexadecimal (base 16) | D80B |
| Base 3 | 2210212102 |
| As time | 55307 seconds = 15 h 21 min 47 s |
Is 55307 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55307 ÷ 7 = 7901) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55307 a prime number?
No. 55307 = 7 × 7901, so it is divisible by 7.
What are the factors of 55307?
1, 7, 7901, 55307.
What is 55307 in binary?
1101100000001011 (hexadecimal D80B, octal 154013).
What is the square root of 55307?
About 235.1744.
Is 55307 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 55307?
55307 is a semiprime: 7 × 7901, the product of two primes.