The number 33969
33969 is a composite number with 12 divisors. Its prime factorisation is 3 × × 67. Divisors (12): 1, 3, 13, 39, 67, 169, 201, 507, 871, 2613, 11323, 33969.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33969 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33969 is composite. Its prime factorisation is
- 3
The divisors add up to 49776; without 33969 itself that is 15807, so 33969 is deficient (15807 is less than 33969). Euler's totient φ(33969) = 20592 numbers up to 33969 share no factor with it.
- 4
The digits of 33969 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33969 = 3 \times 13^{2} \times 67 \]33969 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49776 |
| Euler totient φ(n) | 20592 |
| Square | 1153892961 |
| Cube | 39196589992209 |
| Square root | 184.306809 (= 13√201) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3969 × |
33969 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and sixty-nine |
| Binary (base 2) | 1000010010110001 |
| Octal (base 8) | 102261 |
| Hexadecimal (base 16) | 84B1 |
| Base 3 | 1201121010 |
| As time | 33969 seconds = 9 h 26 min 9 s |
Is 33969 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 | Yes (33969 ÷ 3 = 11323) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33969 a prime number?
No. 33969 = 3 × × 67, so it is divisible by 3.
What are the factors of 33969?
1, 3, 13, 39, 67, 169, 201, 507, 871, 2613, 11323, 33969.
What is 33969 in binary?
1000010010110001 (hexadecimal 84B1, octal 102261).
What is the square root of 33969?
About 184.3068, exactly 13√201.
Is 33969 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 33969?
It is a composite number with 12 divisors.