The number 27402
27402 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 4567. Divisors (8): 1, 2, 3, 6, 4567, 9134, 13701, 27402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27402 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27402 is composite. Its prime factorisation is
- 3
The divisors add up to 54816; without 27402 itself that is 27414, so 27402 is abundant (27414 is more than 27402). Euler's totient φ(27402) = 9132 numbers up to 27402 share no factor with it.
- 4
The digits of 27402 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27402 = 2 \times 3 \times 4567 \]
27402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54816 |
| Euler totient φ(n) | 9132 |
| Square | 750869604 |
| Cube | 20575328888808 |
| Square root | 165.535495 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7402 × |
27402 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and two |
| Binary (base 2) | 110101100001010 |
| Octal (base 8) | 65412 |
| Hexadecimal (base 16) | 6B0A |
| Base 3 | 1101120220 |
| As time | 27402 seconds = 7 h 36 min 42 s |
Is 27402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27402 ÷ 2 = 13701) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27402 ÷ 3 = 9134) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27402 ÷ 6 = 4567) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27402 a prime number?
No. 27402 = 2 × 3 × 4567, so it is divisible by 2.
What are the factors of 27402?
1, 2, 3, 6, 4567, 9134, 13701, 27402.
What is 27402 in binary?
110101100001010 (hexadecimal 6B0A, octal 65412).
What is the square root of 27402?
About 165.5355.
Is 27402 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 27402?
It is a composite number with 8 divisors.