The number 5352
5352 is a composite number with 16 divisors. Its prime factorisation is × 3 × 223. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5352 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5352 is composite. Its prime factorisation is
- 3
The divisors add up to 13440; without 5352 itself that is 8088, so 5352 is abundant (8088 is more than 5352). Euler's totient φ(5352) = 1776 numbers up to 5352 share no factor with it.
- 4
The digits of 5352 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5352 = 2^{3} \times 3 \times 223 \]5352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13440 |
| Euler totient φ(n) | 1776 |
| Square | 28643904 |
| Cube | 153302174208 |
| Square root | 73.157365 (= 2√1338) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 72 |
| Scientific notation | 5.352 × |
5352 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and fifty-two |
| Binary (base 2) | 1010011101000 |
| Octal (base 8) | 12350 |
| Hexadecimal (base 16) | 14E8 |
| Base 3 | 21100020 |
| As time | 5352 seconds = 1 h 29 min 12 s |
Is 5352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5352 ÷ 2 = 2676) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5352 ÷ 3 = 1784) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5352 ÷ 4 = 1338) | 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 | Yes (5352 ÷ 6 = 892) | 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 | Yes (5352 ÷ 8 = 669) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5352 ÷ 12 = 446) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5352 a prime number?
No. 5352 = × 3 × 223, so it is divisible by 2.
What are the factors of 5352?
1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352.
What is 5352 in binary?
1010011101000 (hexadecimal 14E8, octal 12350).
What is the square root of 5352?
About 73.1574, exactly 2√1338.
Is 5352 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 5352?
It is a composite number with 16 divisors.