The number 33364
33364 is a composite number with 12 divisors. Its prime factorisation is × 19 × 439. Divisors (12): 1, 2, 4, 19, 38, 76, 439, 878, 1756, 8341, 16682, 33364.
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How to work it out
- 1
What is special about 33364: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.
- 2
33364 is composite. Its prime factorisation is
- 3
The divisors add up to 61600; without 33364 itself that is 28236, so 33364 is deficient (28236 is less than 33364). Euler's totient φ(33364) = 15768 numbers up to 33364 share no factor with it.
- 4
The digits of 33364 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33364 = 2^{2} \times 19 \times 439 \]33364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 61600 |
| Euler totient φ(n) | 15768 |
| Square | 1113156496 |
| Cube | 37139353332544 |
| Square root | 182.658151 (= 2√8341) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3364 × |
33364 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and sixty-four |
| Binary (base 2) | 1000001001010100 |
| Octal (base 8) | 101124 |
| Hexadecimal (base 16) | 8254 |
| Base 3 | 1200202201 |
| As time | 33364 seconds = 9 h 16 min 4 s |
Is 33364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33364 ÷ 2 = 16682) | 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 (33364 ÷ 4 = 8341) | 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 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 | No (remainder 1) | 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 | No (remainder 1) | 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 33364 a prime number?
No. 33364 = × 19 × 439, so it is divisible by 2.
What are the factors of 33364?
1, 2, 4, 19, 38, 76, 439, 878, 1756, 8341, 16682, 33364.
What is 33364 in binary?
1000001001010100 (hexadecimal 8254, octal 101124).
What is the square root of 33364?
About 182.6582, exactly 2√8341.
Is 33364 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33364?
33364 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.