The number 25480
25480 is a composite number with 48 divisors. Its prime factorisation is × 5 × × 13. Divisors (48): 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 49, 52 … 25480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25480: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
25480 is composite. Its prime factorisation is
- 3
The divisors add up to 71820; without 25480 itself that is 46340, so 25480 is abundant (46340 is more than 25480). Euler's totient φ(25480) = 8064 numbers up to 25480 share no factor with it.
- 4
The digits of 25480 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25480 = 2^{3} \times 5 \times 7^{2} \times 13 \]25480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 71820 |
| Euler totient φ(n) | 8064 |
| Square | 649230400 |
| Cube | 16542390592000 |
| Square root | 159.624560 (= 14√130) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.548 × |
25480 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand four hundred and eighty |
| Binary (base 2) | 110001110001000 |
| Octal (base 8) | 61610 |
| Hexadecimal (base 16) | 6388 |
| Base 3 | 1021221201 |
| As time | 25480 seconds = 7 h 4 min 40 s |
Is 25480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25480 ÷ 2 = 12740) | 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 (25480 ÷ 4 = 6370) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (25480 ÷ 5 = 5096) | 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 | Yes (25480 ÷ 7 = 3640) | 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 (25480 ÷ 8 = 3185) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (25480 ÷ 10 = 2548) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 25480 a prime number?
No. 25480 = × 5 × × 13, so it is divisible by 2.
What are the factors of 25480?
1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 49, 52, 56, 65, 70, 91, 98, 104, 130, 140, 182, 196, 245, 260, 280, 364, 392, 455, 490, 520, 637, 728, 910, 980, 1274, 1820, 1960, 2548, 3185, 3640, 5096, 6370, 12740, 25480.
What is 25480 in binary?
110001110001000 (hexadecimal 6388, octal 61610).
What is the square root of 25480?
About 159.6246, exactly 14√130.
Is 25480 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 25480?
25480 is a happy number: repeatedly adding the squares of its digits reaches 1.