The number 33867
33867 is a composite number with 12 divisors. Its prime factorisation is × 53 × 71. Divisors (12): 1, 3, 9, 53, 71, 159, 213, 477, 639, 3763, 11289, 33867.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33867: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33867 is composite. Its prime factorisation is
- 3
The divisors add up to 50544; without 33867 itself that is 16677, so 33867 is deficient (16677 is less than 33867). Euler's totient φ(33867) = 21840 numbers up to 33867 share no factor with it.
- 4
The digits of 33867 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33867 = 3^{2} \times 53 \times 71 \]33867 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 50544 |
| Euler totient φ(n) | 21840 |
| Square | 1146973689 |
| Cube | 38844557925363 |
| Square root | 184.029889 (= 3√3763) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3867 × |
33867 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and sixty-seven |
| Binary (base 2) | 1000010001001011 |
| Octal (base 8) | 102113 |
| Hexadecimal (base 16) | 844B |
| Base 3 | 1201110100 |
| As time | 33867 seconds = 9 h 24 min 27 s |
Is 33867 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 (33867 ÷ 3 = 11289) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33867 ÷ 9 = 3763) | 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 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33867 a prime number?
No. 33867 = × 53 × 71, so it is divisible by 3.
What are the factors of 33867?
1, 3, 9, 53, 71, 159, 213, 477, 639, 3763, 11289, 33867.
What is 33867 in binary?
1000010001001011 (hexadecimal 844B, octal 102113).
What is the square root of 33867?
About 184.0299, exactly 3√3763.
Is 33867 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 33867?
33867 is a happy number: repeatedly adding the squares of its digits reaches 1.