The number 2624
2624 is a composite number with 14 divisors. Its prime factorisation is × 41. Divisors (14): 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312, 2624.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2624 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2624 is composite. Its prime factorisation is
- 3
The divisors add up to 5334; without 2624 itself that is 2710, so 2624 is abundant (2710 is more than 2624). Euler's totient φ(2624) = 1280 numbers up to 2624 share no factor with it.
- 4
The digits of 2624 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2624 = 2^{6} \times 41 \]2624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 5334 |
| Euler totient φ(n) | 1280 |
| Square | 6885376 |
| Cube | 18067226624 |
| Square root | 51.224994 (= 8√41) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 115 |
| Scientific notation | 2.624 × |
2624 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and twenty-four |
| Roman numerals | MMDCXXIV |
| Binary (base 2) | 101001000000 |
| Octal (base 8) | 5100 |
| Hexadecimal (base 16) | A40 |
| Base 3 | 10121012 |
| As time | 2624 seconds = 43 min 44 s |
Is 2624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2624 ÷ 2 = 1312) | 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 (2624 ÷ 4 = 656) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 6) | 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 (2624 ÷ 8 = 328) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 2624 a prime number?
No. 2624 = × 41, so it is divisible by 2.
What are the factors of 2624?
1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312, 2624.
What is 2624 in binary?
101001000000 (hexadecimal A40, octal 5100).
What is the square root of 2624?
About 51.2250, exactly 8√41.
What is 2624 in Roman numerals?
MMDCXXIV.
Is 2624 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 2624?
It is a composite number with 14 divisors.