The number 3140
3140 is a composite number with 12 divisors. Its prime factorisation is × 5 × 157. Divisors (12): 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3140 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3140 is composite. Its prime factorisation is
- 3
The divisors add up to 6636; without 3140 itself that is 3496, so 3140 is abundant (3496 is more than 3140). Euler's totient φ(3140) = 1248 numbers up to 3140 share no factor with it.
- 4
The digits of 3140 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3140 = 2^{2} \times 5 \times 157 \]3140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6636 |
| Euler totient φ(n) | 1248 |
| Square | 9859600 |
| Cube | 30959144000 |
| Square root | 56.035703 (= 2√785) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 123 |
| Scientific notation | 3.14 × |
3140 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and forty |
| Roman numerals | MMMCXL |
| Binary (base 2) | 110001000100 |
| Octal (base 8) | 6104 |
| Hexadecimal (base 16) | C44 |
| Base 3 | 11022022 |
| As time | 3140 seconds = 52 min 20 s |
Is 3140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3140 ÷ 2 = 1570) | 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 (3140 ÷ 4 = 785) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3140 ÷ 5 = 628) | 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 4) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3140 ÷ 10 = 314) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 3140 a prime number?
No. 3140 = × 5 × 157, so it is divisible by 2.
What are the factors of 3140?
1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140.
What is 3140 in binary?
110001000100 (hexadecimal C44, octal 6104).
What is the square root of 3140?
About 56.0357, exactly 2√785.
What is 3140 in Roman numerals?
MMMCXL.
Is 3140 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 3140?
It is a composite number with 12 divisors.