The number 5332
5332 is a composite number with 12 divisors. Its prime factorisation is × 31 × 43. Divisors (12): 1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5332 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5332 is composite. Its prime factorisation is
- 3
The divisors add up to 9856; without 5332 itself that is 4524, so 5332 is deficient (4524 is less than 5332). Euler's totient φ(5332) = 2520 numbers up to 5332 share no factor with it.
- 4
The digits of 5332 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5332 = 2^{2} \times 31 \times 43 \]5332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9856 |
| Euler totient φ(n) | 2520 |
| Square | 28430224 |
| Cube | 151589954368 |
| Square root | 73.020545 (= 2√1333) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 116 |
| Scientific notation | 5.332 × |
5332 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and thirty-two |
| Binary (base 2) | 1010011010100 |
| Octal (base 8) | 12324 |
| Hexadecimal (base 16) | 14D4 |
| Base 3 | 21022111 |
| As time | 5332 seconds = 1 h 28 min 52 s |
Is 5332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5332 ÷ 2 = 2666) | 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 (5332 ÷ 4 = 1333) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 5332 a prime number?
No. 5332 = × 31 × 43, so it is divisible by 2.
What are the factors of 5332?
1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332.
What is 5332 in binary?
1010011010100 (hexadecimal 14D4, octal 12324).
What is the square root of 5332?
About 73.0205, exactly 2√1333.
Is 5332 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 5332?
It is a composite number with 12 divisors.