The number 8352
8352 is a composite number with 36 divisors. Its prime factorisation is × × 29. Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58 … 8352.
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How to work it out
- 1
What is special about 8352: a Harshad number: divisible by its digit sum 18.
- 2
8352 is composite. Its prime factorisation is
- 3
The divisors add up to 24570; without 8352 itself that is 16218, so 8352 is abundant (16218 is more than 8352). Euler's totient φ(8352) = 2688 numbers up to 8352 share no factor with it.
- 4
The digits of 8352 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8352 = 2^{5} \times 3^{2} \times 29 \]8352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 24570 |
| Euler totient φ(n) | 2688 |
| Square | 69755904 |
| Cube | 582601310208 |
| Square root | 91.389277 (= 12√58) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 34 |
| Scientific notation | 8.352 × |
8352 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and fifty-two |
| Binary (base 2) | 10000010100000 |
| Octal (base 8) | 20240 |
| Hexadecimal (base 16) | 20A0 |
| Base 3 | 102110100 |
| As time | 8352 seconds = 2 h 19 min 12 s |
Is 8352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8352 ÷ 2 = 4176) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8352 ÷ 3 = 2784) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8352 ÷ 4 = 2088) | 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 (8352 ÷ 6 = 1392) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (8352 ÷ 8 = 1044) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8352 ÷ 9 = 928) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8352 ÷ 12 = 696) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8352 a prime number?
No. 8352 = × × 29, so it is divisible by 2.
What are the factors of 8352?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 32, 36, 48, 58, 72, 87, 96, 116, 144, 174, 232, 261, 288, 348, 464, 522, 696, 928, 1044, 1392, 2088, 2784, 4176, 8352.
What is 8352 in binary?
10000010100000 (hexadecimal 20A0, octal 20240).
What is the square root of 8352?
About 91.3893, exactly 12√58.
Is 8352 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8352?
8352 is a Harshad number: divisible by its digit sum 18.