The number 8272
8272 is a composite number with 20 divisors. Its prime factorisation is × 11 × 47. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752 … 8272.
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How to work it out
- 1
8272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8272 is composite. Its prime factorisation is
- 3
The divisors add up to 17856; without 8272 itself that is 9584, so 8272 is abundant (9584 is more than 8272). Euler's totient φ(8272) = 3680 numbers up to 8272 share no factor with it.
- 4
The digits of 8272 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8272 = 2^{4} \times 11 \times 47 \]8272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 17856 |
| Euler totient φ(n) | 3680 |
| Square | 68425984 |
| Cube | 566019739648 |
| Square root | 90.950536 (= 4√517) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.272 × |
8272 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and seventy-two |
| Binary (base 2) | 10000001010000 |
| Octal (base 8) | 20120 |
| Hexadecimal (base 16) | 2050 |
| Base 3 | 102100101 |
| As time | 8272 seconds = 2 h 17 min 52 s |
Is 8272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8272 ÷ 2 = 4136) | 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 (8272 ÷ 4 = 2068) | 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 (8272 ÷ 8 = 1034) | 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 | Yes (8272 ÷ 11 = 752) | 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 8272 a prime number?
No. 8272 = × 11 × 47, so it is divisible by 2.
What are the factors of 8272?
1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136, 8272.
What is 8272 in binary?
10000001010000 (hexadecimal 2050, octal 20120).
What is the square root of 8272?
About 90.9505, exactly 4√517.
Is 8272 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8272?
It is a composite number with 20 divisors.