The number 25507
25507 is a composite number with 4 divisors. Its prime factorisation is 23 × 1109. Divisors (4): 1, 23, 1109, 25507.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25507: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 1109, the product of two primes.
- 2
25507 is composite. Its prime factorisation is
- 3
The divisors add up to 26640; without 25507 itself that is 1133, so 25507 is deficient (1133 is less than 25507). Euler's totient φ(25507) = 24376 numbers up to 25507 share no factor with it.
- 4
The digits of 25507 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25507 = 23 \times 1109 \]
25507 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 26640 |
| Euler totient φ(n) | 24376 |
| Square | 650607049 |
| Cube | 16595033998843 |
| Square root | 159.709111 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.5507 × |
25507 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand five hundred and seven |
| Binary (base 2) | 110001110100011 |
| Octal (base 8) | 61643 |
| Hexadecimal (base 16) | 63A3 |
| Base 3 | 1021222201 |
| As time | 25507 seconds = 7 h 5 min 7 s |
Is 25507 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25507 a prime number?
No. 25507 = 23 × 1109, so it is divisible by 23.
What are the factors of 25507?
1, 23, 1109, 25507.
What is 25507 in binary?
110001110100011 (hexadecimal 63A3, octal 61643).
What is the square root of 25507?
About 159.7091.
Is 25507 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 25507?
25507 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 1109, the product of two primes.