The number 80772
80772 is a composite number with 24 divisors. Its prime factorisation is × 3 × 53 × 127. Divisors (24): 1, 2, 3, 4, 6, 12, 53, 106, 127, 159, 212, 254, 318, 381, 508, 636 … 80772.
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How to work it out
- 1
80772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80772 is composite. Its prime factorisation is
- 3
The divisors add up to 193536; without 80772 itself that is 112764, so 80772 is abundant (112764 is more than 80772). Euler's totient φ(80772) = 26208 numbers up to 80772 share no factor with it.
- 4
The digits of 80772 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80772 = 2^{2} \times 3 \times 53 \times 127 \]80772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 193536 |
| Euler totient φ(n) | 26208 |
| Square | 6524115984 |
| Cube | 526965896259648 |
| Square root | 284.204152 (= 2√20193) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 169 |
| Scientific notation | 8.0772 × |
80772 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and seventy-two |
| Binary (base 2) | 10011101110000100 |
| Octal (base 8) | 235604 |
| Hexadecimal (base 16) | 13B84 |
| Base 3 | 11002210120 |
| As time | 80772 seconds = 22 h 26 min 12 s |
Is 80772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80772 ÷ 2 = 40386) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80772 ÷ 3 = 26924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80772 ÷ 4 = 20193) | 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 (80772 ÷ 6 = 13462) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80772 ÷ 12 = 6731) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80772 a prime number?
No. 80772 = × 3 × 53 × 127, so it is divisible by 2.
What are the factors of 80772?
1, 2, 3, 4, 6, 12, 53, 106, 127, 159, 212, 254, 318, 381, 508, 636, 762, 1524, 6731, 13462, 20193, 26924, 40386, 80772.
What is 80772 in binary?
10011101110000100 (hexadecimal 13B84, octal 235604).
What is the square root of 80772?
About 284.2042, exactly 2√20193.
Is 80772 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 80772?
It is a composite number with 24 divisors.