The number 8052
8052 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 61. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244 … 8052.
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How to work it out
- 1
8052 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8052 is composite. Its prime factorisation is
- 3
The divisors add up to 20832; without 8052 itself that is 12780, so 8052 is abundant (12780 is more than 8052). Euler's totient φ(8052) = 2400 numbers up to 8052 share no factor with it.
- 4
The digits of 8052 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8052 = 2^{2} \times 3 \times 11 \times 61 \]8052 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 20832 |
| Euler totient φ(n) | 2400 |
| Square | 64834704 |
| Cube | 522049036608 |
| Square root | 89.732937 (= 2√2013) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 8.052 × |
8052 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and fifty-two |
| Binary (base 2) | 1111101110100 |
| Octal (base 8) | 17564 |
| Hexadecimal (base 16) | 1F74 |
| Base 3 | 102001020 |
| As time | 8052 seconds = 2 h 14 min 12 s |
Is 8052 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8052 ÷ 2 = 4026) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8052 ÷ 3 = 2684) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8052 ÷ 4 = 2013) | 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 (8052 ÷ 6 = 1342) | 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 | No (remainder 4) | 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 | Yes (8052 ÷ 11 = 732) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8052 ÷ 12 = 671) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8052 a prime number?
No. 8052 = × 3 × 11 × 61, so it is divisible by 2.
What are the factors of 8052?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052.
What is 8052 in binary?
1111101110100 (hexadecimal 1F74, octal 17564).
What is the square root of 8052?
About 89.7329, exactly 2√2013.
Is 8052 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 8052?
It is a composite number with 24 divisors.