The number 80672
80672 is a composite number with 12 divisors. Its prime factorisation is × 2521. Divisors (12): 1, 2, 4, 8, 16, 32, 2521, 5042, 10084, 20168, 40336, 80672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80672 is composite. Its prime factorisation is
- 3
The divisors add up to 158886; without 80672 itself that is 78214, so 80672 is deficient (78214 is less than 80672). Euler's totient φ(80672) = 40320 numbers up to 80672 share no factor with it.
- 4
The digits of 80672 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80672 = 2^{5} \times 2521 \]80672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 158886 |
| Euler totient φ(n) | 40320 |
| Square | 6507971584 |
| Cube | 525011083624448 |
| Square root | 284.028168 (= 4√5042) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.0672 × |
80672 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand six hundred and seventy-two |
| Binary (base 2) | 10011101100100000 |
| Octal (base 8) | 235440 |
| Hexadecimal (base 16) | 13B20 |
| Base 3 | 11002122212 |
| As time | 80672 seconds = 22 h 24 min 32 s |
Is 80672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80672 ÷ 2 = 40336) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80672 ÷ 4 = 20168) | 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 | No (remainder 2) | 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 (80672 ÷ 8 = 10084) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80672 a prime number?
No. 80672 = × 2521, so it is divisible by 2.
What are the factors of 80672?
1, 2, 4, 8, 16, 32, 2521, 5042, 10084, 20168, 40336, 80672.
What is 80672 in binary?
10011101100100000 (hexadecimal 13B20, octal 235440).
What is the square root of 80672?
About 284.0282, exactly 4√5042.
Is 80672 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 80672?
It is a composite number with 12 divisors.