The number 3350
3350 is a composite number with 12 divisors. Its prime factorisation is 2 × × 67. Divisors (12): 1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3350 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3350 is composite. Its prime factorisation is
- 3
The divisors add up to 6324; without 3350 itself that is 2974, so 3350 is deficient (2974 is less than 3350). Euler's totient φ(3350) = 1320 numbers up to 3350 share no factor with it.
- 4
The digits of 3350 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3350 = 2 \times 5^{2} \times 67 \]3350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6324 |
| Euler totient φ(n) | 1320 |
| Square | 11222500 |
| Cube | 37595375000 |
| Square root | 57.879185 (= 5√134) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.35 × |
3350 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and fifty |
| Roman numerals | MMMCCCL |
| Binary (base 2) | 110100010110 |
| Octal (base 8) | 6426 |
| Hexadecimal (base 16) | D16 |
| Base 3 | 11121002 |
| As time | 3350 seconds = 55 min 50 s |
Is 3350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3350 ÷ 2 = 1675) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3350 ÷ 5 = 670) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | 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 | Yes (3350 ÷ 10 = 335) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3350 a prime number?
No. 3350 = 2 × × 67, so it is divisible by 2.
What are the factors of 3350?
1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350.
What is 3350 in binary?
110100010110 (hexadecimal D16, octal 6426).
What is the square root of 3350?
About 57.8792, exactly 5√134.
What is 3350 in Roman numerals?
MMMCCCL.
Is 3350 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3350?
It is a composite number with 12 divisors.