The number 25504
25504 is a composite number with 12 divisors. Its prime factorisation is × 797. Divisors (12): 1, 2, 4, 8, 16, 32, 797, 1594, 3188, 6376, 12752, 25504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25504: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
25504 is composite. Its prime factorisation is
- 3
The divisors add up to 50274; without 25504 itself that is 24770, so 25504 is deficient (24770 is less than 25504). Euler's totient φ(25504) = 12736 numbers up to 25504 share no factor with it.
- 4
The digits of 25504 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25504 = 2^{5} \times 797 \]25504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 50274 |
| Euler totient φ(n) | 12736 |
| Square | 650454016 |
| Cube | 16589179224064 |
| Square root | 159.699718 (= 4√1594) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.5504 × |
25504 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand five hundred and four |
| Binary (base 2) | 110001110100000 |
| Octal (base 8) | 61640 |
| Hexadecimal (base 16) | 63A0 |
| Base 3 | 1021222121 |
| As time | 25504 seconds = 7 h 5 min 4 s |
Is 25504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25504 ÷ 2 = 12752) | 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 | Yes (25504 ÷ 4 = 6376) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (25504 ÷ 8 = 3188) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25504 a prime number?
No. 25504 = × 797, so it is divisible by 2.
What are the factors of 25504?
1, 2, 4, 8, 16, 32, 797, 1594, 3188, 6376, 12752, 25504.
What is 25504 in binary?
110001110100000 (hexadecimal 63A0, octal 61640).
What is the square root of 25504?
About 159.6997, exactly 4√1594.
Is 25504 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 25504?
25504 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.