The number 2480
2480 is a composite number with 20 divisors. Its prime factorisation is × 5 × 31. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 124, 155, 248, 310 … 2480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2480 is composite. Its prime factorisation is
- 3
The divisors add up to 5952; without 2480 itself that is 3472, so 2480 is abundant (3472 is more than 2480). Euler's totient φ(2480) = 960 numbers up to 2480 share no factor with it.
- 4
The digits of 2480 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2480 = 2^{4} \times 5 \times 31 \]2480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 5952 |
| Euler totient φ(n) | 960 |
| Square | 6150400 |
| Cube | 15252992000 |
| Square root | 49.799598 (= 4√155) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 89 |
| Scientific notation | 2.48 × |
2480 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and eighty |
| Roman numerals | MMCDLXXX |
| Binary (base 2) | 100110110000 |
| Octal (base 8) | 4660 |
| Hexadecimal (base 16) | 9B0 |
| Base 3 | 10101212 |
| As time | 2480 seconds = 41 min 20 s |
Is 2480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2480 ÷ 2 = 1240) | 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 (2480 ÷ 4 = 620) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2480 ÷ 5 = 496) | 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 2) | 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 (2480 ÷ 8 = 310) | 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 (2480 ÷ 10 = 248) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 2480 a prime number?
No. 2480 = × 5 × 31, so it is divisible by 2.
What are the factors of 2480?
1, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 124, 155, 248, 310, 496, 620, 1240, 2480.
What is 2480 in binary?
100110110000 (hexadecimal 9B0, octal 4660).
What is the square root of 2480?
About 49.7996, exactly 4√155.
What is 2480 in Roman numerals?
MMCDLXXX.
Is 2480 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 2480?
It is a composite number with 20 divisors.