The number 27413
27413 is a composite number with 4 divisors. Its prime factorisation is 79 × 347. Divisors (4): 1, 79, 347, 27413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27413: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 79 × 347, the product of two primes.
- 2
27413 is composite. Its prime factorisation is
- 3
The divisors add up to 27840; without 27413 itself that is 427, so 27413 is deficient (427 is less than 27413). Euler's totient φ(27413) = 26988 numbers up to 27413 share no factor with it.
- 4
The digits of 27413 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27413 = 79 \times 347 \]
27413 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 27840 |
| Euler totient φ(n) | 26988 |
| Square | 751472569 |
| Cube | 20600117533997 |
| Square root | 165.568717 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.7413 × |
27413 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and thirteen |
| Binary (base 2) | 110101100010101 |
| Octal (base 8) | 65425 |
| Hexadecimal (base 16) | 6B15 |
| Base 3 | 1101121022 |
| As time | 27413 seconds = 7 h 36 min 53 s |
Is 27413 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 3) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 27413 a prime number?
No. 27413 = 79 × 347, so it is divisible by 79.
What are the factors of 27413?
1, 79, 347, 27413.
What is 27413 in binary?
110101100010101 (hexadecimal 6B15, octal 65425).
What is the square root of 27413?
About 165.5687.
Is 27413 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27413?
27413 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 79 × 347, the product of two primes.