The number 3373
3373 is a twin prime (3371 and 3373 are both prime) and the 476th prime number. Its only divisors are 1 and 3373.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3373: a twin prime (3371 and 3373 are both prime); the 476th prime number.
- 2
3373 is prime, so its only factors are 1 and 3373. It is the 476th prime; the next prime is 3389 and the one before is 3371.
- 3
The divisors add up to 3374; without 3373 itself that is 1, so 3373 is deficient (1 is less than 3373). Euler's totient φ(3373) = 3372 numbers up to 3373 share no factor with it.
- 4
The digits of 3373 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
3373 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3374 |
| Euler totient φ(n) | 3372 |
| Square | 11377129 |
| Cube | 38375056117 |
| Square root | 58.077534 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.373 × |
3373 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and seventy-three |
| Roman numerals | MMMCCCLXXIII |
| Binary (base 2) | 110100101101 |
| Octal (base 8) | 6455 |
| Hexadecimal (base 16) | D2D |
| Base 3 | 11121221 |
| As time | 3373 seconds = 56 min 13 s |
Is 3373 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 | No (remainder 1) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3373 a prime number?
Yes. 3373 is divisible only by 1 and itself.
What are the factors of 3373?
1, 3373.
What is 3373 in binary?
110100101101 (hexadecimal D2D, octal 6455).
What is the square root of 3373?
About 58.0775.
What is 3373 in Roman numerals?
MMMCCCLXXIII.
Is 3373 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3373?
3373 is a twin prime (3371 and 3373 are both prime); the 476th prime number.