The number 25942
25942 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 17 × 109. Divisors (16): 1, 2, 7, 14, 17, 34, 109, 119, 218, 238, 763, 1526, 1853, 3706, 12971, 25942.
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How to work it out
- 1
What is special about 25942: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
25942 is composite. Its prime factorisation is
- 3
The divisors add up to 47520; without 25942 itself that is 21578, so 25942 is deficient (21578 is less than 25942). Euler's totient φ(25942) = 10368 numbers up to 25942 share no factor with it.
- 4
The digits of 25942 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25942 = 2 \times 7 \times 17 \times 109 \]
25942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 47520 |
| Euler totient φ(n) | 10368 |
| Square | 672987364 |
| Cube | 17458638196888 |
| Square root | 161.065204 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.5942 × |
25942 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand nine hundred and forty-two |
| Binary (base 2) | 110010101010110 |
| Octal (base 8) | 62526 |
| Hexadecimal (base 16) | 6556 |
| Base 3 | 1022120211 |
| As time | 25942 seconds = 7 h 12 min 22 s |
Is 25942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25942 ÷ 2 = 12971) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (25942 ÷ 7 = 3706) | 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 4) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25942 a prime number?
No. 25942 = 2 × 7 × 17 × 109, so it is divisible by 2.
What are the factors of 25942?
1, 2, 7, 14, 17, 34, 109, 119, 218, 238, 763, 1526, 1853, 3706, 12971, 25942.
What is 25942 in binary?
110010101010110 (hexadecimal 6556, octal 62526).
What is the square root of 25942?
About 161.0652.
Is 25942 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 25942?
25942 is a happy number: repeatedly adding the squares of its digits reaches 1.