The number 2938
2938 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 113. Divisors (8): 1, 2, 13, 26, 113, 226, 1469, 2938.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2938 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2938 is composite. Its prime factorisation is
- 3
The divisors add up to 4788; without 2938 itself that is 1850, so 2938 is deficient (1850 is less than 2938). Euler's totient φ(2938) = 1344 numbers up to 2938 share no factor with it.
- 4
The digits of 2938 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2938 = 2 \times 13 \times 113 \]
2938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4788 |
| Euler totient φ(n) | 1344 |
| Square | 8631844 |
| Cube | 25360357672 |
| Square root | 54.203321 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.938 × |
2938 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and thirty-eight |
| Roman numerals | MMCMXXXVIII |
| Binary (base 2) | 101101111010 |
| Octal (base 8) | 5572 |
| Hexadecimal (base 16) | B7A |
| Base 3 | 11000211 |
| As time | 2938 seconds = 48 min 58 s |
Is 2938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2938 ÷ 2 = 1469) | 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 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 | 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 1) | 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 2938 a prime number?
No. 2938 = 2 × 13 × 113, so it is divisible by 2.
What are the factors of 2938?
1, 2, 13, 26, 113, 226, 1469, 2938.
What is 2938 in binary?
101101111010 (hexadecimal B7A, octal 5572).
What is the square root of 2938?
About 54.2033.
What is 2938 in Roman numerals?
MMCMXXXVIII.
Is 2938 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 2938?
It is a composite number with 8 divisors.