The number 80272
80272 is a composite number with 20 divisors. Its prime factorisation is × 29 × 173. Divisors (20): 1, 2, 4, 8, 16, 29, 58, 116, 173, 232, 346, 464, 692, 1384, 2768, 5017 … 80272.
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How to work it out
- 1
80272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80272 is composite. Its prime factorisation is
- 3
The divisors add up to 161820; without 80272 itself that is 81548, so 80272 is abundant (81548 is more than 80272). Euler's totient φ(80272) = 38528 numbers up to 80272 share no factor with it.
- 4
The digits of 80272 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80272 = 2^{4} \times 29 \times 173 \]80272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 161820 |
| Euler totient φ(n) | 38528 |
| Square | 6443593984 |
| Cube | 517240176283648 |
| Square root | 283.323137 (= 4√5017) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.0272 × |
80272 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand two hundred and seventy-two |
| Binary (base 2) | 10011100110010000 |
| Octal (base 8) | 234620 |
| Hexadecimal (base 16) | 13990 |
| Base 3 | 11002010001 |
| As time | 80272 seconds = 22 h 17 min 52 s |
Is 80272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80272 ÷ 2 = 40136) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80272 ÷ 4 = 20068) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (80272 ÷ 8 = 10034) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80272 a prime number?
No. 80272 = × 29 × 173, so it is divisible by 2.
What are the factors of 80272?
1, 2, 4, 8, 16, 29, 58, 116, 173, 232, 346, 464, 692, 1384, 2768, 5017, 10034, 20068, 40136, 80272.
What is 80272 in binary?
10011100110010000 (hexadecimal 13990, octal 234620).
What is the square root of 80272?
About 283.3231, exactly 4√5017.
Is 80272 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 80272?
It is a composite number with 20 divisors.