The number 3384
3384 is a composite number with 24 divisors. Its prime factorisation is × × 47. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188 … 3384.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3384: a Harshad number: divisible by its digit sum 18.
- 2
3384 is composite. Its prime factorisation is
- 3
The divisors add up to 9360; without 3384 itself that is 5976, so 3384 is abundant (5976 is more than 3384). Euler's totient φ(3384) = 1104 numbers up to 3384 share no factor with it.
- 4
The digits of 3384 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3384 = 2^{3} \times 3^{2} \times 47 \]3384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 9360 |
| Euler totient φ(n) | 1104 |
| Square | 11451456 |
| Cube | 38751727104 |
| Square root | 58.172158 (= 6√94) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.384 × |
3384 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and eighty-four |
| Roman numerals | MMMCCCLXXXIV |
| Binary (base 2) | 110100111000 |
| Octal (base 8) | 6470 |
| Hexadecimal (base 16) | D38 |
| Base 3 | 11122100 |
| As time | 3384 seconds = 56 min 24 s |
Is 3384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3384 ÷ 2 = 1692) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3384 ÷ 3 = 1128) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3384 ÷ 4 = 846) | 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 | Yes (3384 ÷ 6 = 564) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (3384 ÷ 8 = 423) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3384 ÷ 9 = 376) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3384 ÷ 12 = 282) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3384 a prime number?
No. 3384 = × × 47, so it is divisible by 2.
What are the factors of 3384?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692, 3384.
What is 3384 in binary?
110100111000 (hexadecimal D38, octal 6470).
What is the square root of 3384?
About 58.1722, exactly 6√94.
What is 3384 in Roman numerals?
MMMCCCLXXXIV.
Is 3384 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3384?
3384 is a Harshad number: divisible by its digit sum 18.