The number 27414
27414 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1523. Divisors (12): 1, 2, 3, 6, 9, 18, 1523, 3046, 4569, 9138, 13707, 27414.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27414: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
27414 is composite. Its prime factorisation is
- 3
The divisors add up to 59436; without 27414 itself that is 32022, so 27414 is abundant (32022 is more than 27414). Euler's totient φ(27414) = 9132 numbers up to 27414 share no factor with it.
- 4
The digits of 27414 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27414 = 2 \times 3^{2} \times 1523 \]27414 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 59436 |
| Euler totient φ(n) | 9132 |
| Square | 751527396 |
| Cube | 20602372033944 |
| Square root | 165.571737 (= 3√3046) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7414 × |
27414 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and fourteen |
| Binary (base 2) | 110101100010110 |
| Octal (base 8) | 65426 |
| Hexadecimal (base 16) | 6B16 |
| Base 3 | 1101121100 |
| As time | 27414 seconds = 7 h 36 min 54 s |
Is 27414 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27414 ÷ 2 = 13707) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27414 ÷ 3 = 9138) | 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 (27414 ÷ 6 = 4569) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (27414 ÷ 9 = 3046) | 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 2) | 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 27414 a prime number?
No. 27414 = 2 × × 1523, so it is divisible by 2.
What are the factors of 27414?
1, 2, 3, 6, 9, 18, 1523, 3046, 4569, 9138, 13707, 27414.
What is 27414 in binary?
110101100010110 (hexadecimal 6B16, octal 65426).
What is the square root of 27414?
About 165.5717, exactly 3√3046.
Is 27414 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27414?
27414 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.