The number 33860
33860 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1693. Divisors (12): 1, 2, 4, 5, 10, 20, 1693, 3386, 6772, 8465, 16930, 33860.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33860: a Harshad number: divisible by its digit sum 20.
- 2
33860 is composite. Its prime factorisation is
- 3
The divisors add up to 71148; without 33860 itself that is 37288, so 33860 is abundant (37288 is more than 33860). Euler's totient φ(33860) = 13536 numbers up to 33860 share no factor with it.
- 4
The digits of 33860 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33860 = 2^{2} \times 5 \times 1693 \]33860 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 71148 |
| Euler totient φ(n) | 13536 |
| Square | 1146499600 |
| Cube | 38820476456000 |
| Square root | 184.010869 (= 2√8465) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.386 × |
33860 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and sixty |
| Binary (base 2) | 1000010001000100 |
| Octal (base 8) | 102104 |
| Hexadecimal (base 16) | 8444 |
| Base 3 | 1201110002 |
| As time | 33860 seconds = 9 h 24 min 20 s |
Is 33860 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33860 ÷ 2 = 16930) | 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 | Yes (33860 ÷ 4 = 8465) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33860 ÷ 5 = 6772) | 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 | 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 4) | 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 | Yes (33860 ÷ 10 = 3386) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33860 a prime number?
No. 33860 = × 5 × 1693, so it is divisible by 2.
What are the factors of 33860?
1, 2, 4, 5, 10, 20, 1693, 3386, 6772, 8465, 16930, 33860.
What is 33860 in binary?
1000010001000100 (hexadecimal 8444, octal 102104).
What is the square root of 33860?
About 184.0109, exactly 2√8465.
Is 33860 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33860?
33860 is a Harshad number: divisible by its digit sum 20.