The number 3377
3377 is a composite number with 4 divisors. Its prime factorisation is 11 × 307. Divisors (4): 1, 11, 307, 3377.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3377: a semiprime: 11 × 307, the product of two primes.
- 2
3377 is composite. Its prime factorisation is
- 3
The divisors add up to 3696; without 3377 itself that is 319, so 3377 is deficient (319 is less than 3377). Euler's totient φ(3377) = 3060 numbers up to 3377 share no factor with it.
- 4
The digits of 3377 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3377 = 11 \times 307 \]
3377 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3696 |
| Euler totient φ(n) | 3060 |
| Square | 11404129 |
| Cube | 38511743633 |
| Square root | 58.111961 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.377 × |
3377 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and seventy-seven |
| Roman numerals | MMMCCCLXXVII |
| Binary (base 2) | 110100110001 |
| Octal (base 8) | 6461 |
| Hexadecimal (base 16) | D31 |
| Base 3 | 11122002 |
| As time | 3377 seconds = 56 min 17 s |
Is 3377 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 2) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3377 ÷ 11 = 307) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3377 a prime number?
No. 3377 = 11 × 307, so it is divisible by 11.
What are the factors of 3377?
1, 11, 307, 3377.
What is 3377 in binary?
110100110001 (hexadecimal D31, octal 6461).
What is the square root of 3377?
About 58.1120.
What is 3377 in Roman numerals?
MMMCCCLXXVII.
Is 3377 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3377?
3377 is a semiprime: 11 × 307, the product of two primes.