The number 33484
33484 is a composite number with 12 divisors. Its prime factorisation is × 11 × 761. Divisors (12): 1, 2, 4, 11, 22, 44, 761, 1522, 3044, 8371, 16742, 33484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33484: a Harshad number: divisible by its digit sum 22.
- 2
33484 is composite. Its prime factorisation is
- 3
The divisors add up to 64008; without 33484 itself that is 30524, so 33484 is deficient (30524 is less than 33484). Euler's totient φ(33484) = 15200 numbers up to 33484 share no factor with it.
- 4
The digits of 33484 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33484 = 2^{2} \times 11 \times 761 \]33484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 64008 |
| Euler totient φ(n) | 15200 |
| Square | 1121178256 |
| Cube | 37541532723904 |
| Square root | 182.986338 (= 2√8371) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3484 × |
33484 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and eighty-four |
| Binary (base 2) | 1000001011001100 |
| Octal (base 8) | 101314 |
| Hexadecimal (base 16) | 82CC |
| Base 3 | 1200221011 |
| As time | 33484 seconds = 9 h 18 min 4 s |
Is 33484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33484 ÷ 2 = 16742) | 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 | Yes (33484 ÷ 4 = 8371) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33484 ÷ 11 = 3044) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33484 a prime number?
No. 33484 = × 11 × 761, so it is divisible by 2.
What are the factors of 33484?
1, 2, 4, 11, 22, 44, 761, 1522, 3044, 8371, 16742, 33484.
What is 33484 in binary?
1000001011001100 (hexadecimal 82CC, octal 101314).
What is the square root of 33484?
About 182.9863, exactly 2√8371.
Is 33484 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 33484?
33484 is a Harshad number: divisible by its digit sum 22.