The number 3138
3138 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 523. Divisors (8): 1, 2, 3, 6, 523, 1046, 1569, 3138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3138 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3138 is composite. Its prime factorisation is
- 3
The divisors add up to 6288; without 3138 itself that is 3150, so 3138 is abundant (3150 is more than 3138). Euler's totient φ(3138) = 1044 numbers up to 3138 share no factor with it.
- 4
The digits of 3138 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3138 = 2 \times 3 \times 523 \]
3138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6288 |
| Euler totient φ(n) | 1044 |
| Square | 9847044 |
| Cube | 30900024072 |
| Square root | 56.017854 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.138 × |
3138 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and thirty-eight |
| Roman numerals | MMMCXXXVIII |
| Binary (base 2) | 110001000010 |
| Octal (base 8) | 6102 |
| Hexadecimal (base 16) | C42 |
| Base 3 | 11022020 |
| As time | 3138 seconds = 52 min 18 s |
Is 3138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3138 ÷ 2 = 1569) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3138 ÷ 3 = 1046) | 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 | Yes (3138 ÷ 6 = 523) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3138 a prime number?
No. 3138 = 2 × 3 × 523, so it is divisible by 2.
What are the factors of 3138?
1, 2, 3, 6, 523, 1046, 1569, 3138.
What is 3138 in binary?
110001000010 (hexadecimal C42, octal 6102).
What is the square root of 3138?
About 56.0179.
What is 3138 in Roman numerals?
MMMCXXXVIII.
Is 3138 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3138?
It is a composite number with 8 divisors.