The number 33446
33446 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 2389. Divisors (8): 1, 2, 7, 14, 2389, 4778, 16723, 33446.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33446: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33446 is composite. Its prime factorisation is
- 3
The divisors add up to 57360; without 33446 itself that is 23914, so 33446 is deficient (23914 is less than 33446). Euler's totient φ(33446) = 14328 numbers up to 33446 share no factor with it.
- 4
The digits of 33446 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33446 = 2 \times 7 \times 2389 \]
33446 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57360 |
| Euler totient φ(n) | 14328 |
| Square | 1118634916 |
| Cube | 37413863400536 |
| Square root | 182.882476 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3446 × |
33446 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and forty-six |
| Binary (base 2) | 1000001010100110 |
| Octal (base 8) | 101246 |
| Hexadecimal (base 16) | 82A6 |
| Base 3 | 1200212202 |
| As time | 33446 seconds = 9 h 17 min 26 s |
Is 33446 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33446 ÷ 2 = 16723) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33446 ÷ 7 = 4778) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33446 a prime number?
No. 33446 = 2 × 7 × 2389, so it is divisible by 2.
What are the factors of 33446?
1, 2, 7, 14, 2389, 4778, 16723, 33446.
What is 33446 in binary?
1000001010100110 (hexadecimal 82A6, octal 101246).
What is the square root of 33446?
About 182.8825.
Is 33446 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33446?
33446 is a happy number: repeatedly adding the squares of its digits reaches 1.