The number 25530
25530 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 23 × 37. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 23, 30, 37, 46, 69, 74, 111, 115, 138 … 25530.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25530: a Harshad number: divisible by its digit sum 15.
- 2
25530 is composite. Its prime factorisation is
- 3
The divisors add up to 65664; without 25530 itself that is 40134, so 25530 is abundant (40134 is more than 25530). Euler's totient φ(25530) = 6336 numbers up to 25530 share no factor with it.
- 4
The digits of 25530 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25530 = 2 \times 3 \times 5 \times 23 \times 37 \]
25530 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 65664 |
| Euler totient φ(n) | 6336 |
| Square | 651780900 |
| Cube | 16639966377000 |
| Square root | 159.781100 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.553 × |
25530 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand five hundred and thirty |
| Binary (base 2) | 110001110111010 |
| Octal (base 8) | 61672 |
| Hexadecimal (base 16) | 63BA |
| Base 3 | 1022000120 |
| As time | 25530 seconds = 7 h 5 min 30 s |
Is 25530 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25530 ÷ 2 = 12765) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25530 ÷ 3 = 8510) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (25530 ÷ 5 = 5106) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (25530 ÷ 6 = 4255) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (25530 ÷ 10 = 2553) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25530 a prime number?
No. 25530 = 2 × 3 × 5 × 23 × 37, so it is divisible by 2.
What are the factors of 25530?
1, 2, 3, 5, 6, 10, 15, 23, 30, 37, 46, 69, 74, 111, 115, 138, 185, 222, 230, 345, 370, 555, 690, 851, 1110, 1702, 2553, 4255, 5106, 8510, 12765, 25530.
What is 25530 in binary?
110001110111010 (hexadecimal 63BA, octal 61672).
What is the square root of 25530?
About 159.7811.
Is 25530 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 25530?
25530 is a Harshad number: divisible by its digit sum 15.