The number 3348
3348 is a composite number with 24 divisors. Its prime factorisation is × × 31. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124 … 3348.
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How to work it out
- 1
What is special about 3348: a Harshad number: divisible by its digit sum 18.
- 2
3348 is composite. Its prime factorisation is
- 3
The divisors add up to 8960; without 3348 itself that is 5612, so 3348 is abundant (5612 is more than 3348). Euler's totient φ(3348) = 1080 numbers up to 3348 share no factor with it.
- 4
The digits of 3348 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3348 = 2^{2} \times 3^{3} \times 31 \]3348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 8960 |
| Euler totient φ(n) | 1080 |
| Square | 11209104 |
| Cube | 37528080192 |
| Square root | 57.861905 (= 6√93) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.348 × |
3348 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and forty-eight |
| Roman numerals | MMMCCCXLVIII |
| Binary (base 2) | 110100010100 |
| Octal (base 8) | 6424 |
| Hexadecimal (base 16) | D14 |
| Base 3 | 11121000 |
| As time | 3348 seconds = 55 min 48 s |
Is 3348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3348 ÷ 2 = 1674) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3348 ÷ 3 = 1116) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3348 ÷ 4 = 837) | 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 | Yes (3348 ÷ 6 = 558) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3348 ÷ 9 = 372) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3348 ÷ 12 = 279) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3348 a prime number?
No. 3348 = × × 31, so it is divisible by 2.
What are the factors of 3348?
1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674, 3348.
What is 3348 in binary?
110100010100 (hexadecimal D14, octal 6424).
What is the square root of 3348?
About 57.8619, exactly 6√93.
What is 3348 in Roman numerals?
MMMCCCXLVIII.
Is 3348 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3348?
3348 is a Harshad number: divisible by its digit sum 18.