The number 3124
3124 is a composite number with 12 divisors. Its prime factorisation is × 11 × 71. Divisors (12): 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3124 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3124 is composite. Its prime factorisation is
- 3
The divisors add up to 6048; without 3124 itself that is 2924, so 3124 is deficient (2924 is less than 3124). Euler's totient φ(3124) = 1400 numbers up to 3124 share no factor with it.
- 4
The digits of 3124 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3124 = 2^{2} \times 11 \times 71 \]3124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6048 |
| Euler totient φ(n) | 1400 |
| Square | 9759376 |
| Cube | 30488290624 |
| Square root | 55.892754 (= 2√781) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 123 |
| Scientific notation | 3.124 × |
3124 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and twenty-four |
| Roman numerals | MMMCXXIV |
| Binary (base 2) | 110000110100 |
| Octal (base 8) | 6064 |
| Hexadecimal (base 16) | C34 |
| Base 3 | 11021201 |
| As time | 3124 seconds = 52 min 4 s |
Is 3124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3124 ÷ 2 = 1562) | 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 (3124 ÷ 4 = 781) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3124 ÷ 11 = 284) | 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 3124 a prime number?
No. 3124 = × 11 × 71, so it is divisible by 2.
What are the factors of 3124?
1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124.
What is 3124 in binary?
110000110100 (hexadecimal C34, octal 6064).
What is the square root of 3124?
About 55.8928, exactly 2√781.
What is 3124 in Roman numerals?
MMMCXXIV.
Is 3124 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3124?
It is a composite number with 12 divisors.