The number 4948
4948 is a composite number with 6 divisors. Its prime factorisation is × 1237. Divisors (6): 1, 2, 4, 1237, 2474, 4948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4948 is composite. Its prime factorisation is
- 3
The divisors add up to 8666; without 4948 itself that is 3718, so 4948 is deficient (3718 is less than 4948). Euler's totient φ(4948) = 2472 numbers up to 4948 share no factor with it.
- 4
The digits of 4948 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4948 = 2^{2} \times 1237 \]4948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 8666 |
| Euler totient φ(n) | 2472 |
| Square | 24482704 |
| Cube | 121140419392 |
| Square root | 70.342022 (= 2√1237) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 28 |
| Scientific notation | 4.948 × |
4948 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and forty-eight |
| Binary (base 2) | 1001101010100 |
| Octal (base 8) | 11524 |
| Hexadecimal (base 16) | 1354 |
| Base 3 | 20210021 |
| As time | 4948 seconds = 1 h 22 min 28 s |
Is 4948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4948 ÷ 2 = 2474) | 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 (4948 ÷ 4 = 1237) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | 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 4948 a prime number?
No. 4948 = × 1237, so it is divisible by 2.
What are the factors of 4948?
1, 2, 4, 1237, 2474, 4948.
What is 4948 in binary?
1001101010100 (hexadecimal 1354, octal 11524).
What is the square root of 4948?
About 70.3420, exactly 2√1237.
Is 4948 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 4948?
It is a composite number with 6 divisors.