The number 25380
25380 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 47. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45 … 25380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25380: a Harshad number: divisible by its digit sum 18.
- 2
25380 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 25380 itself that is 55260, so 25380 is abundant (55260 is more than 25380). Euler's totient φ(25380) = 6624 numbers up to 25380 share no factor with it.
- 4
The digits of 25380 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25380 = 2^{2} \times 3^{3} \times 5 \times 47 \]25380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 6624 |
| Square | 644144400 |
| Cube | 16348384872000 |
| Square root | 159.311017 (= 6√705) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.538 × |
25380 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand three hundred and eighty |
| Binary (base 2) | 110001100100100 |
| Octal (base 8) | 61444 |
| Hexadecimal (base 16) | 6324 |
| Base 3 | 1021211000 |
| As time | 25380 seconds = 7 h 3 min 0 s |
Is 25380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25380 ÷ 2 = 12690) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25380 ÷ 3 = 8460) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25380 ÷ 4 = 6345) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (25380 ÷ 5 = 5076) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (25380 ÷ 6 = 4230) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (25380 ÷ 9 = 2820) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (25380 ÷ 10 = 2538) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (25380 ÷ 12 = 2115) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25380 a prime number?
No. 25380 = × × 5 × 47, so it is divisible by 2.
What are the factors of 25380?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 47, 54, 60, 90, 94, 108, 135, 141, 180, 188, 235, 270, 282, 423, 470, 540, 564, 705, 846, 940, 1269, 1410, 1692, 2115, 2538, 2820, 4230, 5076, 6345, 8460, 12690, 25380.
What is 25380 in binary?
110001100100100 (hexadecimal 6324, octal 61444).
What is the square root of 25380?
About 159.3110, exactly 6√705.
Is 25380 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 25380?
25380 is a Harshad number: divisible by its digit sum 18.