The number 2984
2984 is a composite number with 8 divisors. Its prime factorisation is × 373. Divisors (8): 1, 2, 4, 8, 373, 746, 1492, 2984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2984 is composite. Its prime factorisation is
- 3
The divisors add up to 5610; without 2984 itself that is 2626, so 2984 is deficient (2626 is less than 2984). Euler's totient φ(2984) = 1488 numbers up to 2984 share no factor with it.
- 4
The digits of 2984 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2984 = 2^{3} \times 373 \]2984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5610 |
| Euler totient φ(n) | 1488 |
| Square | 8904256 |
| Cube | 26570299904 |
| Square root | 54.626001 (= 2√746) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 22 |
| Scientific notation | 2.984 × |
2984 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and eighty-four |
| Roman numerals | MMCMLXXXIV |
| Binary (base 2) | 101110101000 |
| Octal (base 8) | 5650 |
| Hexadecimal (base 16) | BA8 |
| Base 3 | 11002112 |
| As time | 2984 seconds = 49 min 44 s |
Is 2984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2984 ÷ 2 = 1492) | 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 (2984 ÷ 4 = 746) | 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 2) | 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 | Yes (2984 ÷ 8 = 373) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | 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 2984 a prime number?
No. 2984 = × 373, so it is divisible by 2.
What are the factors of 2984?
1, 2, 4, 8, 373, 746, 1492, 2984.
What is 2984 in binary?
101110101000 (hexadecimal BA8, octal 5650).
What is the square root of 2984?
About 54.6260, exactly 2√746.
What is 2984 in Roman numerals?
MMCMLXXXIV.
Is 2984 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 2984?
It is a composite number with 8 divisors.