The number 55700
55700 is a composite number with 18 divisors. Its prime factorisation is × × 557. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 557, 1114, 2228, 2785, 5570, 11140, 13925 … 55700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55700 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55700 is composite. Its prime factorisation is
- 3
The divisors add up to 121086; without 55700 itself that is 65386, so 55700 is abundant (65386 is more than 55700). Euler's totient φ(55700) = 22240 numbers up to 55700 share no factor with it.
- 4
The digits of 55700 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55700 = 2^{2} \times 5^{2} \times 557 \]55700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 121086 |
| Euler totient φ(n) | 22240 |
| Square | 3102490000 |
| Cube | 172808693000000 |
| Square root | 236.008474 (= 10√557) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.57 × |
55700 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred |
| Binary (base 2) | 1101100110010100 |
| Octal (base 8) | 154624 |
| Hexadecimal (base 16) | D994 |
| Base 3 | 2211101222 |
| As time | 55700 seconds = 15 h 28 min 20 s |
Is 55700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55700 ÷ 2 = 27850) | 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 | Yes (55700 ÷ 4 = 13925) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55700 ÷ 5 = 11140) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55700 ÷ 10 = 5570) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55700 a prime number?
No. 55700 = × × 557, so it is divisible by 2.
What are the factors of 55700?
1, 2, 4, 5, 10, 20, 25, 50, 100, 557, 1114, 2228, 2785, 5570, 11140, 13925, 27850, 55700.
What is 55700 in binary?
1101100110010100 (hexadecimal D994, octal 154624).
What is the square root of 55700?
About 236.0085, exactly 10√557.
Is 55700 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 55700?
It is a composite number with 18 divisors.