The number 25746
25746 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 613. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 613, 1226, 1839, 3678, 4291, 8582, 12873, 25746.
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How to work it out
- 1
What is special about 25746: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
25746 is composite. Its prime factorisation is
- 3
The divisors add up to 58944; without 25746 itself that is 33198, so 25746 is abundant (33198 is more than 25746). Euler's totient φ(25746) = 7344 numbers up to 25746 share no factor with it.
- 4
The digits of 25746 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25746 = 2 \times 3 \times 7 \times 613 \]
25746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 58944 |
| Euler totient φ(n) | 7344 |
| Square | 662856516 |
| Cube | 17065903860936 |
| Square root | 160.455601 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.5746 × |
25746 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand seven hundred and forty-six |
| Binary (base 2) | 110010010010010 |
| Octal (base 8) | 62222 |
| Hexadecimal (base 16) | 6492 |
| Base 3 | 1022022120 |
| As time | 25746 seconds = 7 h 9 min 6 s |
Is 25746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25746 ÷ 2 = 12873) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25746 ÷ 3 = 8582) | 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 (25746 ÷ 6 = 4291) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (25746 ÷ 7 = 3678) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 25746 a prime number?
No. 25746 = 2 × 3 × 7 × 613, so it is divisible by 2.
What are the factors of 25746?
1, 2, 3, 6, 7, 14, 21, 42, 613, 1226, 1839, 3678, 4291, 8582, 12873, 25746.
What is 25746 in binary?
110010010010010 (hexadecimal 6492, octal 62222).
What is the square root of 25746?
About 160.4556.
Is 25746 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 25746?
25746 is a happy number: repeatedly adding the squares of its digits reaches 1.