The number 1244
1244 is a composite number with 6 divisors. Its prime factorisation is × 311. Divisors (6): 1, 2, 4, 311, 622, 1244.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1244 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1244 is composite. Its prime factorisation is
- 3
The divisors add up to 2184; without 1244 itself that is 940, so 1244 is deficient (940 is less than 1244). Euler's totient φ(1244) = 620 numbers up to 1244 share no factor with it.
- 4
The digits of 1244 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1244 = 2^{2} \times 311 \]1244 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 2184 |
| Euler totient φ(n) | 620 |
| Square | 1547536 |
| Cube | 1925134784 |
| Square root | 35.270384 (= 2√311) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 88 |
| Scientific notation | 1.244 × |
1244 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and forty-four |
| Roman numerals | MCCXLIV |
| Binary (base 2) | 10011011100 |
| Octal (base 8) | 2334 |
| Hexadecimal (base 16) | 4DC |
| Base 3 | 1201002 |
| As time | 1244 seconds = 20 min 44 s |
Is 1244 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1244 ÷ 2 = 622) | 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 (1244 ÷ 4 = 311) | 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 5) | 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 2) | 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 1) | 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 1244 a prime number?
No. 1244 = × 311, so it is divisible by 2.
What are the factors of 1244?
1, 2, 4, 311, 622, 1244.
What is 1244 in binary?
10011011100 (hexadecimal 4DC, octal 2334).
What is the square root of 1244?
About 35.2704, exactly 2√311.
What is 1244 in Roman numerals?
MCCXLIV.
Is 1244 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1244?
It is a composite number with 6 divisors.