The number 25520
25520 is a composite number with 40 divisors. Its prime factorisation is × 5 × 11 × 29. Divisors (40): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 29, 40, 44, 55, 58, 80 … 25520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25520 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25520 is composite. Its prime factorisation is
- 3
The divisors add up to 66960; without 25520 itself that is 41440, so 25520 is abundant (41440 is more than 25520). Euler's totient φ(25520) = 8960 numbers up to 25520 share no factor with it.
- 4
The digits of 25520 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25520 = 2^{4} \times 5 \times 11 \times 29 \]25520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 66960 |
| Euler totient φ(n) | 8960 |
| Square | 651270400 |
| Cube | 16620420608000 |
| Square root | 159.749804 (= 4√1595) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.552 × |
25520 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand five hundred and twenty |
| Binary (base 2) | 110001110110000 |
| Octal (base 8) | 61660 |
| Hexadecimal (base 16) | 63B0 |
| Base 3 | 1022000012 |
| As time | 25520 seconds = 7 h 5 min 20 s |
Is 25520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25520 ÷ 2 = 12760) | 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 | Yes (25520 ÷ 4 = 6380) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (25520 ÷ 5 = 5104) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (25520 ÷ 8 = 3190) | 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 | Yes (25520 ÷ 10 = 2552) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (25520 ÷ 11 = 2320) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25520 a prime number?
No. 25520 = × 5 × 11 × 29, so it is divisible by 2.
What are the factors of 25520?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 29, 40, 44, 55, 58, 80, 88, 110, 116, 145, 176, 220, 232, 290, 319, 440, 464, 580, 638, 880, 1160, 1276, 1595, 2320, 2552, 3190, 5104, 6380, 12760, 25520.
What is 25520 in binary?
110001110110000 (hexadecimal 63B0, octal 61660).
What is the square root of 25520?
About 159.7498, exactly 4√1595.
Is 25520 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 25520?
It is a composite number with 40 divisors.