The number 4216
4216 is a composite number with 16 divisors. Its prime factorisation is × 17 × 31. Divisors (16): 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4216 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4216 is composite. Its prime factorisation is
- 3
The divisors add up to 8640; without 4216 itself that is 4424, so 4216 is abundant (4424 is more than 4216). Euler's totient φ(4216) = 1920 numbers up to 4216 share no factor with it.
- 4
The digits of 4216 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4216 = 2^{3} \times 17 \times 31 \]4216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8640 |
| Euler totient φ(n) | 1920 |
| Square | 17774656 |
| Cube | 74937949696 |
| Square root | 64.930732 (= 2√1054) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 82 |
| Scientific notation | 4.216 × |
4216 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and sixteen |
| Binary (base 2) | 1000001111000 |
| Octal (base 8) | 10170 |
| Hexadecimal (base 16) | 1078 |
| Base 3 | 12210011 |
| As time | 4216 seconds = 1 h 10 min 16 s |
Is 4216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4216 ÷ 2 = 2108) | 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 (4216 ÷ 4 = 1054) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 2) | 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 (4216 ÷ 8 = 527) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 4216 a prime number?
No. 4216 = × 17 × 31, so it is divisible by 2.
What are the factors of 4216?
1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216.
What is 4216 in binary?
1000001111000 (hexadecimal 1078, octal 10170).
What is the square root of 4216?
About 64.9307, exactly 2√1054.
Is 4216 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4216?
It is a composite number with 16 divisors.