The number 8512
8512 is a composite number with 28 divisors. Its prime factorisation is × 7 × 19. Divisors (28): 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 133 … 8512.
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How to work it out
- 1
What is special about 8512: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
8512 is composite. Its prime factorisation is
- 3
The divisors add up to 20320; without 8512 itself that is 11808, so 8512 is abundant (11808 is more than 8512). Euler's totient φ(8512) = 3456 numbers up to 8512 share no factor with it.
- 4
The digits of 8512 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8512 = 2^{6} \times 7 \times 19 \]8512 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 20320 |
| Euler totient φ(n) | 3456 |
| Square | 72454144 |
| Cube | 616729673728 |
| Square root | 92.260501 (= 8√133) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 34 |
| Scientific notation | 8.512 × |
8512 in other forms
| Form | Value |
|---|---|
| In words | eight thousand five hundred and twelve |
| Binary (base 2) | 10000101000000 |
| Octal (base 8) | 20500 |
| Hexadecimal (base 16) | 2140 |
| Base 3 | 102200021 |
| As time | 8512 seconds = 2 h 21 min 52 s |
Is 8512 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8512 ÷ 2 = 4256) | 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 (8512 ÷ 4 = 2128) | 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 | Yes (8512 ÷ 7 = 1216) | 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 (8512 ÷ 8 = 1064) | 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 9) | 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 8512 a prime number?
No. 8512 = × 7 × 19, so it is divisible by 2.
What are the factors of 8512?
1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 133, 152, 224, 266, 304, 448, 532, 608, 1064, 1216, 2128, 4256, 8512.
What is 8512 in binary?
10000101000000 (hexadecimal 2140, octal 20500).
What is the square root of 8512?
About 92.2605, exactly 8√133.
Is 8512 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 8512?
8512 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.