The number 25925
25925 is a composite number with 12 divisors. Its prime factorisation is × 17 × 61. Divisors (12): 1, 5, 17, 25, 61, 85, 305, 425, 1037, 1525, 5185, 25925.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25925: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
25925 is composite. Its prime factorisation is
- 3
The divisors add up to 34596; without 25925 itself that is 8671, so 25925 is deficient (8671 is less than 25925). Euler's totient φ(25925) = 19200 numbers up to 25925 share no factor with it.
- 4
The digits of 25925 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 170 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25925 = 5^{2} \times 17 \times 61 \]25925 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 34596 |
| Euler totient φ(n) | 19200 |
| Square | 672105625 |
| Cube | 17424338328125 |
| Square root | 161.012422 (= 5√1037) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 170 |
| Scientific notation | 2.5925 × |
25925 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand nine hundred and twenty-five |
| Binary (base 2) | 110010101000101 |
| Octal (base 8) | 62505 |
| Hexadecimal (base 16) | 6545 |
| Base 3 | 1022120012 |
| As time | 25925 seconds = 7 h 12 min 5 s |
Is 25925 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (25925 ÷ 5 = 5185) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25925 a prime number?
No. 25925 = × 17 × 61, so it is divisible by 5.
What are the factors of 25925?
1, 5, 17, 25, 61, 85, 305, 425, 1037, 1525, 5185, 25925.
What is 25925 in binary?
110010101000101 (hexadecimal 6545, octal 62505).
What is the square root of 25925?
About 161.0124, exactly 5√1037.
Is 25925 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 25925?
25925 is a happy number: repeatedly adding the squares of its digits reaches 1.