The number 27401
27401 is a composite number with 8 divisors. Its prime factorisation is 11 × 47 × 53. Divisors (8): 1, 11, 47, 53, 517, 583, 2491, 27401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27401: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27401 is composite. Its prime factorisation is
- 3
The divisors add up to 31104; without 27401 itself that is 3703, so 27401 is deficient (3703 is less than 27401). Euler's totient φ(27401) = 23920 numbers up to 27401 share no factor with it.
- 4
The digits of 27401 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 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27401 = 11 \times 47 \times 53 \]
27401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 31104 |
| Euler totient φ(n) | 23920 |
| Square | 750814801 |
| Cube | 20573076362201 |
| Square root | 165.532474 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.7401 × |
27401 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and one |
| Binary (base 2) | 110101100001001 |
| Octal (base 8) | 65411 |
| Hexadecimal (base 16) | 6B09 |
| Base 3 | 1101120212 |
| As time | 27401 seconds = 7 h 36 min 41 s |
Is 27401 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27401 ÷ 11 = 2491) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27401 a prime number?
No. 27401 = 11 × 47 × 53, so it is divisible by 11.
What are the factors of 27401?
1, 11, 47, 53, 517, 583, 2491, 27401.
What is 27401 in binary?
110101100001001 (hexadecimal 6B09, octal 65411).
What is the square root of 27401?
About 165.5325.
Is 27401 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 27401?
27401 is a happy number: repeatedly adding the squares of its digits reaches 1.