The number 1384
1384 is a composite number with 8 divisors. Its prime factorisation is × 173. Divisors (8): 1, 2, 4, 8, 173, 346, 692, 1384.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1384 is composite. Its prime factorisation is
- 3
The divisors add up to 2610; without 1384 itself that is 1226, so 1384 is deficient (1226 is less than 1384). Euler's totient φ(1384) = 688 numbers up to 1384 share no factor with it.
- 4
The digits of 1384 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1384 = 2^{3} \times 173 \]1384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2610 |
| Euler totient φ(n) | 688 |
| Square | 1915456 |
| Cube | 2650991104 |
| Square root | 37.202150 (= 2√346) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.384 × |
1384 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and eighty-four |
| Roman numerals | MCCCLXXXIV |
| Binary (base 2) | 10101101000 |
| Octal (base 8) | 2550 |
| Hexadecimal (base 16) | 568 |
| Base 3 | 1220021 |
| As time | 1384 seconds = 23 min 4 s |
Is 1384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1384 ÷ 2 = 692) | 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 (1384 ÷ 4 = 346) | 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 5) | 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 (1384 ÷ 8 = 173) | 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 9) | 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 1384 a prime number?
No. 1384 = × 173, so it is divisible by 2.
What are the factors of 1384?
1, 2, 4, 8, 173, 346, 692, 1384.
What is 1384 in binary?
10101101000 (hexadecimal 568, octal 2550).
What is the square root of 1384?
About 37.2022, exactly 2√346.
What is 1384 in Roman numerals?
MCCCLXXXIV.
Is 1384 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1384?
It is a composite number with 8 divisors.