The number 27100
27100 is a composite number with 18 divisors. Its prime factorisation is × × 271. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 271, 542, 1084, 1355, 2710, 5420, 6775 … 27100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27100: a Harshad number: divisible by its digit sum 10.
- 2
27100 is composite. Its prime factorisation is
- 3
The divisors add up to 59024; without 27100 itself that is 31924, so 27100 is abundant (31924 is more than 27100). Euler's totient φ(27100) = 10800 numbers up to 27100 share no factor with it.
- 4
The digits of 27100 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27100 = 2^{2} \times 5^{2} \times 271 \]27100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 59024 |
| Euler totient φ(n) | 10800 |
| Square | 734410000 |
| Cube | 19902511000000 |
| Square root | 164.620776 (= 10√271) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.71 × |
27100 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred |
| Binary (base 2) | 110100111011100 |
| Octal (base 8) | 64734 |
| Hexadecimal (base 16) | 69DC |
| Base 3 | 1101011201 |
| As time | 27100 seconds = 7 h 31 min 40 s |
Is 27100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27100 ÷ 2 = 13550) | 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 (27100 ÷ 4 = 6775) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27100 ÷ 5 = 5420) | 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 3) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27100 ÷ 10 = 2710) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27100 a prime number?
No. 27100 = × × 271, so it is divisible by 2.
What are the factors of 27100?
1, 2, 4, 5, 10, 20, 25, 50, 100, 271, 542, 1084, 1355, 2710, 5420, 6775, 13550, 27100.
What is 27100 in binary?
110100111011100 (hexadecimal 69DC, octal 64734).
What is the square root of 27100?
About 164.6208, exactly 10√271.
Is 27100 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 27100?
27100 is a Harshad number: divisible by its digit sum 10.