The number 2229
2229 is a composite number with 4 divisors. Its prime factorisation is 3 × 743. Divisors (4): 1, 3, 743, 2229.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2229: a semiprime: 3 × 743, the product of two primes.
- 2
2229 is composite. Its prime factorisation is
- 3
The divisors add up to 2976; without 2229 itself that is 747, so 2229 is deficient (747 is less than 2229). Euler's totient φ(2229) = 1484 numbers up to 2229 share no factor with it.
- 4
The digits of 2229 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2229 = 3 \times 743 \]
2229 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2976 |
| Euler totient φ(n) | 1484 |
| Square | 4968441 |
| Cube | 11074654989 |
| Square root | 47.212287 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.229 × |
2229 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and twenty-nine |
| Roman numerals | MMCCXXIX |
| Binary (base 2) | 100010110101 |
| Octal (base 8) | 4265 |
| Hexadecimal (base 16) | 8B5 |
| Base 3 | 10001120 |
| As time | 2229 seconds = 37 min 9 s |
Is 2229 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 (2229 ÷ 3 = 743) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 5) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2229 a prime number?
No. 2229 = 3 × 743, so it is divisible by 3.
What are the factors of 2229?
1, 3, 743, 2229.
What is 2229 in binary?
100010110101 (hexadecimal 8B5, octal 4265).
What is the square root of 2229?
About 47.2123.
What is 2229 in Roman numerals?
MMCCXXIX.
Is 2229 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2229?
2229 is a semiprime: 3 × 743, the product of two primes.