The number 2444
2444 is a composite number with 12 divisors. Its prime factorisation is × 13 × 47. Divisors (12): 1, 2, 4, 13, 26, 47, 52, 94, 188, 611, 1222, 2444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2444 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2444 is composite. Its prime factorisation is
- 3
The divisors add up to 4704; without 2444 itself that is 2260, so 2444 is deficient (2260 is less than 2444). Euler's totient φ(2444) = 1104 numbers up to 2444 share no factor with it.
- 4
The digits of 2444 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 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2444 = 2^{2} \times 13 \times 47 \]2444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 4704 |
| Euler totient φ(n) | 1104 |
| Square | 5973136 |
| Cube | 14598344384 |
| Square root | 49.436828 (= 2√611) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.444 × |
2444 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and forty-four |
| Roman numerals | MMCDXLIV |
| Binary (base 2) | 100110001100 |
| Octal (base 8) | 4614 |
| Hexadecimal (base 16) | 98C |
| Base 3 | 10100112 |
| As time | 2444 seconds = 40 min 44 s |
Is 2444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2444 ÷ 2 = 1222) | 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 (2444 ÷ 4 = 611) | 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 1) | 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 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 2) | 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 2444 a prime number?
No. 2444 = × 13 × 47, so it is divisible by 2.
What are the factors of 2444?
1, 2, 4, 13, 26, 47, 52, 94, 188, 611, 1222, 2444.
What is 2444 in binary?
100110001100 (hexadecimal 98C, octal 4614).
What is the square root of 2444?
About 49.4368, exactly 2√611.
What is 2444 in Roman numerals?
MMCDXLIV.
Is 2444 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 2444?
It is a composite number with 12 divisors.