The number 4738
4738 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 103. Divisors (8): 1, 2, 23, 46, 103, 206, 2369, 4738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4738 is composite. Its prime factorisation is
- 3
The divisors add up to 7488; without 4738 itself that is 2750, so 4738 is deficient (2750 is less than 4738). Euler's totient φ(4738) = 2244 numbers up to 4738 share no factor with it.
- 4
The digits of 4738 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4738 = 2 \times 23 \times 103 \]
4738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7488 |
| Euler totient φ(n) | 2244 |
| Square | 22448644 |
| Cube | 106361675272 |
| Square root | 68.833132 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 121 |
| Scientific notation | 4.738 × |
4738 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and thirty-eight |
| Binary (base 2) | 1001010000010 |
| Octal (base 8) | 11202 |
| Hexadecimal (base 16) | 1282 |
| Base 3 | 20111111 |
| As time | 4738 seconds = 1 h 18 min 58 s |
Is 4738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4738 ÷ 2 = 2369) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4738 a prime number?
No. 4738 = 2 × 23 × 103, so it is divisible by 2.
What are the factors of 4738?
1, 2, 23, 46, 103, 206, 2369, 4738.
What is 4738 in binary?
1001010000010 (hexadecimal 1282, octal 11202).
What is the square root of 4738?
About 68.8331.
Is 4738 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 4738?
It is a composite number with 8 divisors.