The number 3333
3333 is a palindrome: it reads 3333 backwards too. Its prime factorisation is 3 × 11 × 101. Divisors (8): 1, 3, 11, 33, 101, 303, 1111, 3333.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3333: a palindrome: it reads 3333 backwards too.
- 2
3333 is composite. Its prime factorisation is
- 3
The divisors add up to 4896; without 3333 itself that is 1563, so 3333 is deficient (1563 is less than 3333). Euler's totient φ(3333) = 2000 numbers up to 3333 share no factor with it.
- 4
The digits of 3333 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3333 = 3 \times 11 \times 101 \]
3333 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4896 |
| Euler totient φ(n) | 2000 |
| Square | 11108889 |
| Cube | 37025927037 |
| Square root | 57.732140 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.333 × |
3333 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and thirty-three |
| Roman numerals | MMMCCCXXXIII |
| Binary (base 2) | 110100000101 |
| Octal (base 8) | 6405 |
| Hexadecimal (base 16) | D05 |
| Base 3 | 11120110 |
| As time | 3333 seconds = 55 min 33 s |
Is 3333 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 (3333 ÷ 3 = 1111) | 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 3) | 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 1) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3333 ÷ 11 = 303) | 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 3333 a prime number?
No. 3333 = 3 × 11 × 101, so it is divisible by 3.
What are the factors of 3333?
1, 3, 11, 33, 101, 303, 1111, 3333.
What is 3333 in binary?
110100000101 (hexadecimal D05, octal 6405).
What is the square root of 3333?
About 57.7321.
What is 3333 in Roman numerals?
MMMCCCXXXIII.
Is 3333 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3333?
3333 is a palindrome: it reads 3333 backwards too.