The number 26742
26742 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 4457. Divisors (8): 1, 2, 3, 6, 4457, 8914, 13371, 26742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26742: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
26742 is composite. Its prime factorisation is
- 3
The divisors add up to 53496; without 26742 itself that is 26754, so 26742 is abundant (26754 is more than 26742). Euler's totient φ(26742) = 8912 numbers up to 26742 share no factor with it.
- 4
The digits of 26742 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 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26742 = 2 \times 3 \times 4457 \]
26742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 53496 |
| Euler totient φ(n) | 8912 |
| Square | 715134564 |
| Cube | 19124128510488 |
| Square root | 163.529814 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.6742 × |
26742 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and forty-two |
| Binary (base 2) | 110100001110110 |
| Octal (base 8) | 64166 |
| Hexadecimal (base 16) | 6876 |
| Base 3 | 1100200110 |
| As time | 26742 seconds = 7 h 25 min 42 s |
Is 26742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26742 ÷ 2 = 13371) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26742 ÷ 3 = 8914) | 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 (26742 ÷ 6 = 4457) | 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 6) | 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 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 26742 a prime number?
No. 26742 = 2 × 3 × 4457, so it is divisible by 2.
What are the factors of 26742?
1, 2, 3, 6, 4457, 8914, 13371, 26742.
What is 26742 in binary?
110100001110110 (hexadecimal 6876, octal 64166).
What is the square root of 26742?
About 163.5298.
Is 26742 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 26742?
26742 is a happy number: repeatedly adding the squares of its digits reaches 1.