The number 33354
33354 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 109. Divisors (24): 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 109, 153, 218, 306, 327, 654 … 33354.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33354: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
33354 is composite. Its prime factorisation is
- 3
The divisors add up to 77220; without 33354 itself that is 43866, so 33354 is abundant (43866 is more than 33354). Euler's totient φ(33354) = 10368 numbers up to 33354 share no factor with it.
- 4
The digits of 33354 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 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33354 = 2 \times 3^{2} \times 17 \times 109 \]33354 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 77220 |
| Euler totient φ(n) | 10368 |
| Square | 1112489316 |
| Cube | 37105968645864 |
| Square root | 182.630775 (= 3√3706) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3354 × |
33354 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and fifty-four |
| Binary (base 2) | 1000001001001010 |
| Octal (base 8) | 101112 |
| Hexadecimal (base 16) | 824A |
| Base 3 | 1200202100 |
| As time | 33354 seconds = 9 h 15 min 54 s |
Is 33354 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33354 ÷ 2 = 16677) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33354 ÷ 3 = 11118) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33354 ÷ 6 = 5559) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33354 ÷ 9 = 3706) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33354 a prime number?
No. 33354 = 2 × × 17 × 109, so it is divisible by 2.
What are the factors of 33354?
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 109, 153, 218, 306, 327, 654, 981, 1853, 1962, 3706, 5559, 11118, 16677, 33354.
What is 33354 in binary?
1000001001001010 (hexadecimal 824A, octal 101112).
What is the square root of 33354?
About 182.6308, exactly 3√3706.
Is 33354 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33354?
33354 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.