The number 4744
4744 is a composite number with 8 divisors. Its prime factorisation is × 593. Divisors (8): 1, 2, 4, 8, 593, 1186, 2372, 4744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4744: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4744 is composite. Its prime factorisation is
- 3
The divisors add up to 8910; without 4744 itself that is 4166, so 4744 is deficient (4166 is less than 4744). Euler's totient φ(4744) = 2368 numbers up to 4744 share no factor with it.
- 4
The digits of 4744 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4744 = 2^{3} \times 593 \]4744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8910 |
| Euler totient φ(n) | 2368 |
| Square | 22505536 |
| Cube | 106766262784 |
| Square root | 68.876701 (= 2√1186) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 77 |
| Scientific notation | 4.744 × |
4744 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and forty-four |
| Binary (base 2) | 1001010001000 |
| Octal (base 8) | 11210 |
| Hexadecimal (base 16) | 1288 |
| Base 3 | 20111201 |
| As time | 4744 seconds = 1 h 19 min 4 s |
Is 4744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4744 ÷ 2 = 2372) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4744 ÷ 4 = 1186) | 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 4) | 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 | Yes (4744 ÷ 8 = 593) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4744 a prime number?
No. 4744 = × 593, so it is divisible by 2.
What are the factors of 4744?
1, 2, 4, 8, 593, 1186, 2372, 4744.
What is 4744 in binary?
1001010001000 (hexadecimal 1288, octal 11210).
What is the square root of 4744?
About 68.8767, exactly 2√1186.
Is 4744 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 4744?
4744 is a happy number: repeatedly adding the squares of its digits reaches 1.