The number 4748
4748 is a composite number with 6 divisors. Its prime factorisation is × 1187. Divisors (6): 1, 2, 4, 1187, 2374, 4748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4748 is composite. Its prime factorisation is
- 3
The divisors add up to 8316; without 4748 itself that is 3568, so 4748 is deficient (3568 is less than 4748). Euler's totient φ(4748) = 2372 numbers up to 4748 share no factor with it.
- 4
The digits of 4748 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4748 = 2^{2} \times 1187 \]4748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 8316 |
| Euler totient φ(n) | 2372 |
| Square | 22543504 |
| Cube | 107036556992 |
| Square root | 68.905733 (= 2√1187) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 77 |
| Scientific notation | 4.748 × |
4748 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and forty-eight |
| Binary (base 2) | 1001010001100 |
| Octal (base 8) | 11214 |
| Hexadecimal (base 16) | 128C |
| Base 3 | 20111212 |
| As time | 4748 seconds = 1 h 19 min 8 s |
Is 4748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4748 ÷ 2 = 2374) | 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 (4748 ÷ 4 = 1187) | 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 2) | 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 | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 4748 a prime number?
No. 4748 = × 1187, so it is divisible by 2.
What are the factors of 4748?
1, 2, 4, 1187, 2374, 4748.
What is 4748 in binary?
1001010001100 (hexadecimal 128C, octal 11214).
What is the square root of 4748?
About 68.9057, exactly 2√1187.
Is 4748 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 4748?
It is a composite number with 6 divisors.