The number 5884
5884 is a composite number with 6 divisors. Its prime factorisation is × 1471. Divisors (6): 1, 2, 4, 1471, 2942, 5884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5884 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5884 is composite. Its prime factorisation is
- 3
The divisors add up to 10304; without 5884 itself that is 4420, so 5884 is deficient (4420 is less than 5884). Euler's totient φ(5884) = 2940 numbers up to 5884 share no factor with it.
- 4
The digits of 5884 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5884 = 2^{2} \times 1471 \]5884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 10304 |
| Euler totient φ(n) | 2940 |
| Square | 34621456 |
| Cube | 203712647104 |
| Square root | 76.707236 (= 2√1471) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 173 |
| Scientific notation | 5.884 × |
5884 in other forms
| Form | Value |
|---|---|
| In words | five thousand eight hundred and eighty-four |
| Binary (base 2) | 1011011111100 |
| Octal (base 8) | 13374 |
| Hexadecimal (base 16) | 16FC |
| Base 3 | 22001221 |
| As time | 5884 seconds = 1 h 38 min 4 s |
Is 5884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5884 ÷ 2 = 2942) | 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 (5884 ÷ 4 = 1471) | 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 4) | 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 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 10) | 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 5884 a prime number?
No. 5884 = × 1471, so it is divisible by 2.
What are the factors of 5884?
1, 2, 4, 1471, 2942, 5884.
What is 5884 in binary?
1011011111100 (hexadecimal 16FC, octal 13374).
What is the square root of 5884?
About 76.7072, exactly 2√1471.
Is 5884 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 5884?
It is a composite number with 6 divisors.