The number 2948
2948 is a composite number with 12 divisors. Its prime factorisation is × 11 × 67. Divisors (12): 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474, 2948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2948 is composite. Its prime factorisation is
- 3
The divisors add up to 5712; without 2948 itself that is 2764, so 2948 is deficient (2764 is less than 2948). Euler's totient φ(2948) = 1320 numbers up to 2948 share no factor with it.
- 4
The digits of 2948 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 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2948 = 2^{2} \times 11 \times 67 \]2948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5712 |
| Euler totient φ(n) | 1320 |
| Square | 8690704 |
| Cube | 25620195392 |
| Square root | 54.295488 (= 2√737) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 141 |
| Scientific notation | 2.948 × |
2948 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and forty-eight |
| Roman numerals | MMCMXLVIII |
| Binary (base 2) | 101110000100 |
| Octal (base 8) | 5604 |
| Hexadecimal (base 16) | B84 |
| Base 3 | 11001012 |
| As time | 2948 seconds = 49 min 8 s |
Is 2948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2948 ÷ 2 = 1474) | 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 (2948 ÷ 4 = 737) | 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 1) | 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 | Yes (2948 ÷ 11 = 268) | 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 2948 a prime number?
No. 2948 = × 11 × 67, so it is divisible by 2.
What are the factors of 2948?
1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474, 2948.
What is 2948 in binary?
101110000100 (hexadecimal B84, octal 5604).
What is the square root of 2948?
About 54.2955, exactly 2√737.
What is 2948 in Roman numerals?
MMCMXLVIII.
Is 2948 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 2948?
It is a composite number with 12 divisors.