The number 4944
4944 is a composite number with 20 divisors. Its prime factorisation is × 3 × 103. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824 … 4944.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4944: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4944 is composite. Its prime factorisation is
- 3
The divisors add up to 12896; without 4944 itself that is 7952, so 4944 is abundant (7952 is more than 4944). Euler's totient φ(4944) = 1632 numbers up to 4944 share no factor with it.
- 4
The digits of 4944 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 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4944 = 2^{4} \times 3 \times 103 \]4944 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 12896 |
| Euler totient φ(n) | 1632 |
| Square | 24443136 |
| Cube | 120846864384 |
| Square root | 70.313583 (= 4√309) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 28 |
| Scientific notation | 4.944 × |
4944 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and forty-four |
| Binary (base 2) | 1001101010000 |
| Octal (base 8) | 11520 |
| Hexadecimal (base 16) | 1350 |
| Base 3 | 20210010 |
| As time | 4944 seconds = 1 h 22 min 24 s |
Is 4944 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4944 ÷ 2 = 2472) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4944 ÷ 3 = 1648) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4944 ÷ 4 = 1236) | 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 | Yes (4944 ÷ 6 = 824) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (4944 ÷ 8 = 618) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4944 ÷ 12 = 412) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4944 a prime number?
No. 4944 = × 3 × 103, so it is divisible by 2.
What are the factors of 4944?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 4944.
What is 4944 in binary?
1001101010000 (hexadecimal 1350, octal 11520).
What is the square root of 4944?
About 70.3136, exactly 4√309.
Is 4944 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 4944?
4944 is a happy number: repeatedly adding the squares of its digits reaches 1.