The number 2460
2460 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 41. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164 … 2460.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2460: a Harshad number: divisible by its digit sum 12.
- 2
2460 is composite. Its prime factorisation is
- 3
The divisors add up to 7056; without 2460 itself that is 4596, so 2460 is abundant (4596 is more than 2460). Euler's totient φ(2460) = 640 numbers up to 2460 share no factor with it.
- 4
The digits of 2460 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2460 = 2^{2} \times 3 \times 5 \times 41 \]2460 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 7056 |
| Euler totient φ(n) | 640 |
| Square | 6051600 |
| Cube | 14886936000 |
| Square root | 49.598387 (= 2√615) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 2.46 × |
2460 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and sixty |
| Roman numerals | MMCDLX |
| Binary (base 2) | 100110011100 |
| Octal (base 8) | 4634 |
| Hexadecimal (base 16) | 99C |
| Base 3 | 10101010 |
| As time | 2460 seconds = 41 min 0 s |
Is 2460 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2460 ÷ 2 = 1230) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2460 ÷ 3 = 820) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2460 ÷ 4 = 615) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2460 ÷ 5 = 492) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2460 ÷ 6 = 410) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2460 ÷ 10 = 246) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2460 ÷ 12 = 205) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2460 a prime number?
No. 2460 = × 3 × 5 × 41, so it is divisible by 2.
What are the factors of 2460?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230, 2460.
What is 2460 in binary?
100110011100 (hexadecimal 99C, octal 4634).
What is the square root of 2460?
About 49.5984, exactly 2√615.
What is 2460 in Roman numerals?
MMCDLX.
Is 2460 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 2460?
2460 is a Harshad number: divisible by its digit sum 12.