The number 2496
2496 is a composite number with 28 divisors. Its prime factorisation is × 3 × 13. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64 … 2496.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2496 is composite. Its prime factorisation is
- 3
The divisors add up to 7112; without 2496 itself that is 4616, so 2496 is abundant (4616 is more than 2496). Euler's totient φ(2496) = 768 numbers up to 2496 share no factor with it.
- 4
The digits of 2496 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2496 = 2^{6} \times 3 \times 13 \]2496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 7112 |
| Euler totient φ(n) | 768 |
| Square | 6230016 |
| Cube | 15550119936 |
| Square root | 49.959984 (= 8√39) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.496 × |
2496 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and ninety-six |
| Roman numerals | MMCDXCVI |
| Binary (base 2) | 100111000000 |
| Octal (base 8) | 4700 |
| Hexadecimal (base 16) | 9C0 |
| Base 3 | 10102110 |
| As time | 2496 seconds = 41 min 36 s |
Is 2496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2496 ÷ 2 = 1248) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2496 ÷ 3 = 832) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2496 ÷ 4 = 624) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2496 ÷ 6 = 416) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (2496 ÷ 8 = 312) | 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 | No (remainder 6) | 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 | Yes (2496 ÷ 12 = 208) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2496 a prime number?
No. 2496 = × 3 × 13, so it is divisible by 2.
What are the factors of 2496?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248, 2496.
What is 2496 in binary?
100111000000 (hexadecimal 9C0, octal 4700).
What is the square root of 2496?
About 49.9600, exactly 8√39.
What is 2496 in Roman numerals?
MMCDXCVI.
Is 2496 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 2496?
It is a composite number with 28 divisors.