The number 26427
26427 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 383. Divisors (8): 1, 3, 23, 69, 383, 1149, 8809, 26427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26427: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
26427 is composite. Its prime factorisation is
- 3
The divisors add up to 36864; without 26427 itself that is 10437, so 26427 is deficient (10437 is less than 26427). Euler's totient φ(26427) = 16808 numbers up to 26427 share no factor with it.
- 4
The digits of 26427 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 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26427 = 3 \times 23 \times 383 \]
26427 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 36864 |
| Euler totient φ(n) | 16808 |
| Square | 698386329 |
| Cube | 18456255516483 |
| Square root | 162.563834 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6427 × |
26427 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand four hundred and twenty-seven |
| Binary (base 2) | 110011100111011 |
| Octal (base 8) | 63473 |
| Hexadecimal (base 16) | 673B |
| Base 3 | 1100020210 |
| As time | 26427 seconds = 7 h 20 min 27 s |
Is 26427 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 | Yes (26427 ÷ 3 = 8809) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26427 a prime number?
No. 26427 = 3 × 23 × 383, so it is divisible by 3.
What are the factors of 26427?
1, 3, 23, 69, 383, 1149, 8809, 26427.
What is 26427 in binary?
110011100111011 (hexadecimal 673B, octal 63473).
What is the square root of 26427?
About 162.5638.
Is 26427 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 26427?
26427 is a happy number: repeatedly adding the squares of its digits reaches 1.