The number 3184
3184 is a composite number with 10 divisors. Its prime factorisation is × 199. Divisors (10): 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3184: a Harshad number: divisible by its digit sum 16.
- 2
3184 is composite. Its prime factorisation is
- 3
The divisors add up to 6200; without 3184 itself that is 3016, so 3184 is deficient (3016 is less than 3184). Euler's totient φ(3184) = 1584 numbers up to 3184 share no factor with it.
- 4
The digits of 3184 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3184 = 2^{4} \times 199 \]3184 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 6200 |
| Euler totient φ(n) | 1584 |
| Square | 10137856 |
| Cube | 32278933504 |
| Square root | 56.426944 (= 4√199) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 123 |
| Scientific notation | 3.184 × |
3184 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and eighty-four |
| Roman numerals | MMMCLXXXIV |
| Binary (base 2) | 110001110000 |
| Octal (base 8) | 6160 |
| Hexadecimal (base 16) | C70 |
| Base 3 | 11100221 |
| As time | 3184 seconds = 53 min 4 s |
Is 3184 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3184 ÷ 2 = 1592) | 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 (3184 ÷ 4 = 796) | 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 6) | 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 | Yes (3184 ÷ 8 = 398) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 5) | 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 3184 a prime number?
No. 3184 = × 199, so it is divisible by 2.
What are the factors of 3184?
1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184.
What is 3184 in binary?
110001110000 (hexadecimal C70, octal 6160).
What is the square root of 3184?
About 56.4269, exactly 4√199.
What is 3184 in Roman numerals?
MMMCLXXXIV.
Is 3184 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3184?
3184 is a Harshad number: divisible by its digit sum 16.