The number 33348
33348 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 397. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 397, 794, 1191, 1588 … 33348.
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How to work it out
- 1
What is special about 33348: a Harshad number: divisible by its digit sum 21.
- 2
33348 is composite. Its prime factorisation is
- 3
The divisors add up to 89152; without 33348 itself that is 55804, so 33348 is abundant (55804 is more than 33348). Euler's totient φ(33348) = 9504 numbers up to 33348 share no factor with it.
- 4
The digits of 33348 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33348 = 2^{2} \times 3 \times 7 \times 397 \]33348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89152 |
| Euler totient φ(n) | 9504 |
| Square | 1112089104 |
| Cube | 37085947440192 |
| Square root | 182.614348 (= 2√8337) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3348 × |
33348 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and forty-eight |
| Binary (base 2) | 1000001001000100 |
| Octal (base 8) | 101104 |
| Hexadecimal (base 16) | 8244 |
| Base 3 | 1200202010 |
| As time | 33348 seconds = 9 h 15 min 48 s |
Is 33348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33348 ÷ 2 = 16674) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33348 ÷ 3 = 11116) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33348 ÷ 4 = 8337) | 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 (33348 ÷ 6 = 5558) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33348 ÷ 7 = 4764) | 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 | No (remainder 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33348 ÷ 12 = 2779) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33348 a prime number?
No. 33348 = × 3 × 7 × 397, so it is divisible by 2.
What are the factors of 33348?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 397, 794, 1191, 1588, 2382, 2779, 4764, 5558, 8337, 11116, 16674, 33348.
What is 33348 in binary?
1000001001000100 (hexadecimal 8244, octal 101104).
What is the square root of 33348?
About 182.6143, exactly 2√8337.
Is 33348 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33348?
33348 is a Harshad number: divisible by its digit sum 21.