The number 80052
80052 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 953. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 953, 1906, 2859, 3812 … 80052.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80052 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80052 is composite. Its prime factorisation is
- 3
The divisors add up to 213696; without 80052 itself that is 133644, so 80052 is abundant (133644 is more than 80052). Euler's totient φ(80052) = 22848 numbers up to 80052 share no factor with it.
- 4
The digits of 80052 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80052 = 2^{2} \times 3 \times 7 \times 953 \]80052 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 213696 |
| Euler totient φ(n) | 22848 |
| Square | 6408322704 |
| Cube | 512999049100608 |
| Square root | 282.934621 (= 2√20013) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.0052 × |
80052 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and fifty-two |
| Binary (base 2) | 10011100010110100 |
| Octal (base 8) | 234264 |
| Hexadecimal (base 16) | 138B4 |
| Base 3 | 11001210220 |
| As time | 80052 seconds = 22 h 14 min 12 s |
Is 80052 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80052 ÷ 2 = 40026) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80052 ÷ 3 = 26684) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80052 ÷ 4 = 20013) | 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 (80052 ÷ 6 = 13342) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (80052 ÷ 7 = 11436) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80052 ÷ 12 = 6671) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80052 a prime number?
No. 80052 = × 3 × 7 × 953, so it is divisible by 2.
What are the factors of 80052?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 953, 1906, 2859, 3812, 5718, 6671, 11436, 13342, 20013, 26684, 40026, 80052.
What is 80052 in binary?
10011100010110100 (hexadecimal 138B4, octal 234264).
What is the square root of 80052?
About 282.9346, exactly 2√20013.
Is 80052 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 80052?
It is a composite number with 24 divisors.