The number 33890
33890 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 3389. Divisors (8): 1, 2, 5, 10, 3389, 6778, 16945, 33890.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33890 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33890 is composite. Its prime factorisation is
- 3
The divisors add up to 61020; without 33890 itself that is 27130, so 33890 is deficient (27130 is less than 33890). Euler's totient φ(33890) = 13552 numbers up to 33890 share no factor with it.
- 4
The digits of 33890 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33890 = 2 \times 5 \times 3389 \]
33890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61020 |
| Euler totient φ(n) | 13552 |
| Square | 1148532100 |
| Cube | 38923752869000 |
| Square root | 184.092368 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.389 × |
33890 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and ninety |
| Binary (base 2) | 1000010001100010 |
| Octal (base 8) | 102142 |
| Hexadecimal (base 16) | 8462 |
| Base 3 | 1201111012 |
| As time | 33890 seconds = 9 h 24 min 50 s |
Is 33890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33890 ÷ 2 = 16945) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33890 ÷ 5 = 6778) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33890 ÷ 10 = 3389) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33890 a prime number?
No. 33890 = 2 × 5 × 3389, so it is divisible by 2.
What are the factors of 33890?
1, 2, 5, 10, 3389, 6778, 16945, 33890.
What is 33890 in binary?
1000010001100010 (hexadecimal 8462, octal 102142).
What is the square root of 33890?
About 184.0924.
Is 33890 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33890?
It is a composite number with 8 divisors.