The number 27174
27174 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 647. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 647, 1294, 1941, 3882, 4529, 9058, 13587, 27174.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27174: a Harshad number: divisible by its digit sum 21.
- 2
27174 is composite. Its prime factorisation is
- 3
The divisors add up to 62208; without 27174 itself that is 35034, so 27174 is abundant (35034 is more than 27174). Euler's totient φ(27174) = 7752 numbers up to 27174 share no factor with it.
- 4
The digits of 27174 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27174 = 2 \times 3 \times 7 \times 647 \]
27174 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 62208 |
| Euler totient φ(n) | 7752 |
| Square | 738426276 |
| Cube | 20065995624024 |
| Square root | 164.845382 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.7174 × |
27174 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and seventy-four |
| Binary (base 2) | 110101000100110 |
| Octal (base 8) | 65046 |
| Hexadecimal (base 16) | 6A26 |
| Base 3 | 1101021110 |
| As time | 27174 seconds = 7 h 32 min 54 s |
Is 27174 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27174 ÷ 2 = 13587) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27174 ÷ 3 = 9058) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (27174 ÷ 6 = 4529) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27174 ÷ 7 = 3882) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27174 a prime number?
No. 27174 = 2 × 3 × 7 × 647, so it is divisible by 2.
What are the factors of 27174?
1, 2, 3, 6, 7, 14, 21, 42, 647, 1294, 1941, 3882, 4529, 9058, 13587, 27174.
What is 27174 in binary?
110101000100110 (hexadecimal 6A26, octal 65046).
What is the square root of 27174?
About 164.8454.
Is 27174 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27174?
27174 is a Harshad number: divisible by its digit sum 21.