The number 27700
27700 is a composite number with 18 divisors. Its prime factorisation is × × 277. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 277, 554, 1108, 1385, 2770, 5540, 6925 … 27700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27700 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27700 is composite. Its prime factorisation is
- 3
The divisors add up to 60326; without 27700 itself that is 32626, so 27700 is abundant (32626 is more than 27700). Euler's totient φ(27700) = 11040 numbers up to 27700 share no factor with it.
- 4
The digits of 27700 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 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27700 = 2^{2} \times 5^{2} \times 277 \]27700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 60326 |
| Euler totient φ(n) | 11040 |
| Square | 767290000 |
| Cube | 21253933000000 |
| Square root | 166.433170 (= 10√277) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.77 × |
27700 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred |
| Binary (base 2) | 110110000110100 |
| Octal (base 8) | 66064 |
| Hexadecimal (base 16) | 6C34 |
| Base 3 | 1101222221 |
| As time | 27700 seconds = 7 h 41 min 40 s |
Is 27700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27700 ÷ 2 = 13850) | 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 (27700 ÷ 4 = 6925) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27700 ÷ 5 = 5540) | 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 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27700 ÷ 10 = 2770) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 27700 a prime number?
No. 27700 = × × 277, so it is divisible by 2.
What are the factors of 27700?
1, 2, 4, 5, 10, 20, 25, 50, 100, 277, 554, 1108, 1385, 2770, 5540, 6925, 13850, 27700.
What is 27700 in binary?
110110000110100 (hexadecimal 6C34, octal 66064).
What is the square root of 27700?
About 166.4332, exactly 10√277.
Is 27700 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27700?
It is a composite number with 18 divisors.