The number 33676
33676 is a composite number with 6 divisors. Its prime factorisation is × 8419. Divisors (6): 1, 2, 4, 8419, 16838, 33676.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33676: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33676 is composite. Its prime factorisation is
- 3
The divisors add up to 58940; without 33676 itself that is 25264, so 33676 is deficient (25264 is less than 33676). Euler's totient φ(33676) = 16836 numbers up to 33676 share no factor with it.
- 4
The digits of 33676 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33676 = 2^{2} \times 8419 \]33676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 58940 |
| Euler totient φ(n) | 16836 |
| Square | 1134072976 |
| Cube | 38191041539776 |
| Square root | 183.510218 (= 2√8419) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.3676 × |
33676 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and seventy-six |
| Binary (base 2) | 1000001110001100 |
| Octal (base 8) | 101614 |
| Hexadecimal (base 16) | 838C |
| Base 3 | 1201012021 |
| As time | 33676 seconds = 9 h 21 min 16 s |
Is 33676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33676 ÷ 2 = 16838) | 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 (33676 ÷ 4 = 8419) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 5) | 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 33676 a prime number?
No. 33676 = × 8419, so it is divisible by 2.
What are the factors of 33676?
1, 2, 4, 8419, 16838, 33676.
What is 33676 in binary?
1000001110001100 (hexadecimal 838C, octal 101614).
What is the square root of 33676?
About 183.5102, exactly 2√8419.
Is 33676 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33676?
33676 is a happy number: repeatedly adding the squares of its digits reaches 1.