The number 33407
33407 is a composite number with 4 divisors. Its prime factorisation is 11 × 3037. Divisors (4): 1, 11, 3037, 33407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33407: a semiprime: 11 × 3037, the product of two primes.
- 2
33407 is composite. Its prime factorisation is
- 3
The divisors add up to 36456; without 33407 itself that is 3049, so 33407 is deficient (3049 is less than 33407). Euler's totient φ(33407) = 30360 numbers up to 33407 share no factor with it.
- 4
The digits of 33407 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33407 = 11 \times 3037 \]
33407 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 36456 |
| Euler totient φ(n) | 30360 |
| Square | 1116027649 |
| Cube | 37283135670143 |
| Square root | 182.775819 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.3407 × |
33407 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and seven |
| Binary (base 2) | 1000001001111111 |
| Octal (base 8) | 101177 |
| Hexadecimal (base 16) | 827F |
| Base 3 | 1200211022 |
| As time | 33407 seconds = 9 h 16 min 47 s |
Is 33407 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33407 ÷ 11 = 3037) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33407 a prime number?
No. 33407 = 11 × 3037, so it is divisible by 11.
What are the factors of 33407?
1, 11, 3037, 33407.
What is 33407 in binary?
1000001001111111 (hexadecimal 827F, octal 101177).
What is the square root of 33407?
About 182.7758.
Is 33407 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33407?
33407 is a semiprime: 11 × 3037, the product of two primes.