The number 25320
25320 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 211. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 25320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25320: a Harshad number: divisible by its digit sum 12.
- 2
25320 is composite. Its prime factorisation is
- 3
The divisors add up to 76320; without 25320 itself that is 51000, so 25320 is abundant (51000 is more than 25320). Euler's totient φ(25320) = 6720 numbers up to 25320 share no factor with it.
- 4
The digits of 25320 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25320 = 2^{3} \times 3 \times 5 \times 211 \]25320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 76320 |
| Euler totient φ(n) | 6720 |
| Square | 641102400 |
| Cube | 16232712768000 |
| Square root | 159.122594 (= 2√6330) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.532 × |
25320 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand three hundred and twenty |
| Binary (base 2) | 110001011101000 |
| Octal (base 8) | 61350 |
| Hexadecimal (base 16) | 62E8 |
| Base 3 | 1021201210 |
| As time | 25320 seconds = 7 h 2 min 0 s |
Is 25320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25320 ÷ 2 = 12660) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25320 ÷ 3 = 8440) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25320 ÷ 4 = 6330) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (25320 ÷ 5 = 5064) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (25320 ÷ 6 = 4220) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (25320 ÷ 8 = 3165) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (25320 ÷ 10 = 2532) | 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 | Yes (25320 ÷ 12 = 2110) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25320 a prime number?
No. 25320 = × 3 × 5 × 211, so it is divisible by 2.
What are the factors of 25320?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 211, 422, 633, 844, 1055, 1266, 1688, 2110, 2532, 3165, 4220, 5064, 6330, 8440, 12660, 25320.
What is 25320 in binary?
110001011101000 (hexadecimal 62E8, octal 61350).
What is the square root of 25320?
About 159.1226, exactly 2√6330.
Is 25320 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 25320?
25320 is a Harshad number: divisible by its digit sum 12.