The number 27104
27104 is a composite number with 36 divisors. Its prime factorisation is × 7 × . Divisors (36): 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112 … 27104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27104: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
27104 is composite. Its prime factorisation is
- 3
The divisors add up to 67032; without 27104 itself that is 39928, so 27104 is abundant (39928 is more than 27104). Euler's totient φ(27104) = 10560 numbers up to 27104 share no factor with it.
- 4
The digits of 27104 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27104 = 2^{5} \times 7 \times 11^{2} \]27104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 67032 |
| Euler totient φ(n) | 10560 |
| Square | 734626816 |
| Cube | 19911325220864 |
| Square root | 164.632925 (= 44√14) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7104 × |
27104 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and four |
| Binary (base 2) | 110100111100000 |
| Octal (base 8) | 64740 |
| Hexadecimal (base 16) | 69E0 |
| Base 3 | 1101011212 |
| As time | 27104 seconds = 7 h 31 min 44 s |
Is 27104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27104 ÷ 2 = 13552) | 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 (27104 ÷ 4 = 6776) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (27104 ÷ 7 = 3872) | 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 | Yes (27104 ÷ 8 = 3388) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27104 ÷ 11 = 2464) | 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 27104 a prime number?
No. 27104 = × 7 × , so it is divisible by 2.
What are the factors of 27104?
1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 77, 88, 112, 121, 154, 176, 224, 242, 308, 352, 484, 616, 847, 968, 1232, 1694, 1936, 2464, 3388, 3872, 6776, 13552, 27104.
What is 27104 in binary?
110100111100000 (hexadecimal 69E0, octal 64740).
What is the square root of 27104?
About 164.6329, exactly 44√14.
Is 27104 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 27104?
27104 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.