The number 25674
25674 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 389. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 389, 778, 1167, 2334, 4279, 8558, 12837, 25674.
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How to work it out
- 1
What is special about 25674: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
25674 is composite. Its prime factorisation is
- 3
The divisors add up to 56160; without 25674 itself that is 30486, so 25674 is abundant (30486 is more than 25674). Euler's totient φ(25674) = 7760 numbers up to 25674 share no factor with it.
- 4
The digits of 25674 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 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25674 = 2 \times 3 \times 11 \times 389 \]
25674 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 56160 |
| Euler totient φ(n) | 7760 |
| Square | 659154276 |
| Cube | 16923126882024 |
| Square root | 160.231083 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.5674 × |
25674 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand six hundred and seventy-four |
| Binary (base 2) | 110010001001010 |
| Octal (base 8) | 62112 |
| Hexadecimal (base 16) | 644A |
| Base 3 | 1022012220 |
| As time | 25674 seconds = 7 h 7 min 54 s |
Is 25674 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25674 ÷ 2 = 12837) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25674 ÷ 3 = 8558) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (25674 ÷ 6 = 4279) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (25674 ÷ 11 = 2334) | 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 25674 a prime number?
No. 25674 = 2 × 3 × 11 × 389, so it is divisible by 2.
What are the factors of 25674?
1, 2, 3, 6, 11, 22, 33, 66, 389, 778, 1167, 2334, 4279, 8558, 12837, 25674.
What is 25674 in binary?
110010001001010 (hexadecimal 644A, octal 62112).
What is the square root of 25674?
About 160.2311.
Is 25674 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 25674?
25674 is a happy number: repeatedly adding the squares of its digits reaches 1.