The number 80512
80512 is a composite number with 32 divisors. Its prime factorisation is × 17 × 37. Divisors (32): 1, 2, 4, 8, 16, 17, 32, 34, 37, 64, 68, 74, 128, 136, 148, 272 … 80512.
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How to work it out
- 1
What is special about 80512: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
80512 is composite. Its prime factorisation is
- 3
The divisors add up to 174420; without 80512 itself that is 93908, so 80512 is abundant (93908 is more than 80512). Euler's totient φ(80512) = 36864 numbers up to 80512 share no factor with it.
- 4
The digits of 80512 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80512 = 2^{7} \times 17 \times 37 \]80512 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 174420 |
| Euler totient φ(n) | 36864 |
| Square | 6482182144 |
| Cube | 521893448777728 |
| Square root | 283.746366 (= 8√1258) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.0512 × |
80512 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand five hundred and twelve |
| Binary (base 2) | 10011101010000000 |
| Octal (base 8) | 235200 |
| Hexadecimal (base 16) | 13A80 |
| Base 3 | 11002102221 |
| As time | 80512 seconds = 22 h 21 min 52 s |
Is 80512 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80512 ÷ 2 = 40256) | 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 (80512 ÷ 4 = 20128) | 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 5) | 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 (80512 ÷ 8 = 10064) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3) | 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 80512 a prime number?
No. 80512 = × 17 × 37, so it is divisible by 2.
What are the factors of 80512?
1, 2, 4, 8, 16, 17, 32, 34, 37, 64, 68, 74, 128, 136, 148, 272, 296, 544, 592, 629, 1088, 1184, 1258, 2176, 2368, 2516, 4736, 5032, 10064, 20128, 40256, 80512.
What is 80512 in binary?
10011101010000000 (hexadecimal 13A80, octal 235200).
What is the square root of 80512?
About 283.7464, exactly 8√1258.
Is 80512 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 80512?
80512 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.