The number 1216
1216 is a composite number with 14 divisors. Its prime factorisation is × 19. Divisors (14): 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1216 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1216 is composite. Its prime factorisation is
- 3
The divisors add up to 2540; without 1216 itself that is 1324, so 1216 is abundant (1324 is more than 1216). Euler's totient φ(1216) = 576 numbers up to 1216 share no factor with it.
- 4
The digits of 1216 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1216 = 2^{6} \times 19 \]1216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 2540 |
| Euler totient φ(n) | 576 |
| Square | 1478656 |
| Cube | 1798045696 |
| Square root | 34.871192 (= 8√19) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 26 |
| Scientific notation | 1.216 × |
1216 in other forms
| Form | Value |
|---|---|
| In words | one thousand two hundred and sixteen |
| Roman numerals | MCCXVI |
| Binary (base 2) | 10011000000 |
| Octal (base 8) | 2300 |
| Hexadecimal (base 16) | 4C0 |
| Base 3 | 1200001 |
| As time | 1216 seconds = 20 min 16 s |
Is 1216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1216 ÷ 2 = 608) | 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 (1216 ÷ 4 = 304) | 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 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 (1216 ÷ 8 = 152) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 1216 a prime number?
No. 1216 = × 19, so it is divisible by 2.
What are the factors of 1216?
1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216.
What is 1216 in binary?
10011000000 (hexadecimal 4C0, octal 2300).
What is the square root of 1216?
About 34.8712, exactly 8√19.
What is 1216 in Roman numerals?
MCCXVI.
Is 1216 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1216?
It is a composite number with 14 divisors.