The number 27426
27426 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 653. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 653, 1306, 1959, 3918, 4571, 9142, 13713, 27426.
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How to work it out
- 1
What is special about 27426: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
27426 is composite. Its prime factorisation is
- 3
The divisors add up to 62784; without 27426 itself that is 35358, so 27426 is abundant (35358 is more than 27426). Euler's totient φ(27426) = 7824 numbers up to 27426 share no factor with it.
- 4
The digits of 27426 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27426 = 2 \times 3 \times 7 \times 653 \]
27426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 62784 |
| Euler totient φ(n) | 7824 |
| Square | 752185476 |
| Cube | 20629438864776 |
| Square root | 165.607971 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7426 × |
27426 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and twenty-six |
| Binary (base 2) | 110101100100010 |
| Octal (base 8) | 65442 |
| Hexadecimal (base 16) | 6B22 |
| Base 3 | 1101121210 |
| As time | 27426 seconds = 7 h 37 min 6 s |
Is 27426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27426 ÷ 2 = 13713) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27426 ÷ 3 = 9142) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27426 ÷ 6 = 4571) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27426 ÷ 7 = 3918) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 27426 a prime number?
No. 27426 = 2 × 3 × 7 × 653, so it is divisible by 2.
What are the factors of 27426?
1, 2, 3, 6, 7, 14, 21, 42, 653, 1306, 1959, 3918, 4571, 9142, 13713, 27426.
What is 27426 in binary?
110101100100010 (hexadecimal 6B22, octal 65442).
What is the square root of 27426?
About 165.6080.
Is 27426 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 27426?
27426 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.