The number 3219
3219 is a binary palindrome (110010010011). Its prime factorisation is 3 × 29 × 37. Divisors (8): 1, 3, 29, 37, 87, 111, 1073, 3219.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3219: a binary palindrome (110010010011).
- 2
3219 is composite. Its prime factorisation is
- 3
The divisors add up to 4560; without 3219 itself that is 1341, so 3219 is deficient (1341 is less than 3219). Euler's totient φ(3219) = 2016 numbers up to 3219 share no factor with it.
- 4
The digits of 3219 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3219 = 3 \times 29 \times 37 \]
3219 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4560 |
| Euler totient φ(n) | 2016 |
| Square | 10361961 |
| Cube | 33355152459 |
| Square root | 56.736232 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 74 |
| Scientific notation | 3.219 × |
3219 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and nineteen |
| Roman numerals | MMMCCXIX |
| Binary (base 2) | 110010010011 |
| Octal (base 8) | 6223 |
| Hexadecimal (base 16) | C93 |
| Base 3 | 11102020 |
| As time | 3219 seconds = 53 min 39 s |
Is 3219 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3219 ÷ 3 = 1073) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3219 a prime number?
No. 3219 = 3 × 29 × 37, so it is divisible by 3.
What are the factors of 3219?
1, 3, 29, 37, 87, 111, 1073, 3219.
What is 3219 in binary?
110010010011 (hexadecimal C93, octal 6223).
What is the square root of 3219?
About 56.7362.
What is 3219 in Roman numerals?
MMMCCXIX.
Is 3219 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3219?
3219 is a binary palindrome (110010010011).