The number 33138
33138 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 263. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 263, 526, 789, 1578 … 33138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33138: a Harshad number: divisible by its digit sum 18.
- 2
33138 is composite. Its prime factorisation is
- 3
The divisors add up to 82368; without 33138 itself that is 49230, so 33138 is abundant (49230 is more than 33138). Euler's totient φ(33138) = 9432 numbers up to 33138 share no factor with it.
- 4
The digits of 33138 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33138 = 2 \times 3^{2} \times 7 \times 263 \]33138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 82368 |
| Euler totient φ(n) | 9432 |
| Square | 1098127044 |
| Cube | 36389733984072 |
| Square root | 182.038457 (= 3√3682) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3138 × |
33138 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and thirty-eight |
| Binary (base 2) | 1000000101110010 |
| Octal (base 8) | 100562 |
| Hexadecimal (base 16) | 8172 |
| Base 3 | 1200110100 |
| As time | 33138 seconds = 9 h 12 min 18 s |
Is 33138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33138 ÷ 2 = 16569) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33138 ÷ 3 = 11046) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33138 ÷ 6 = 5523) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33138 ÷ 7 = 4734) | 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 | Yes (33138 ÷ 9 = 3682) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33138 a prime number?
No. 33138 = 2 × × 7 × 263, so it is divisible by 2.
What are the factors of 33138?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 263, 526, 789, 1578, 1841, 2367, 3682, 4734, 5523, 11046, 16569, 33138.
What is 33138 in binary?
1000000101110010 (hexadecimal 8172, octal 100562).
What is the square root of 33138?
About 182.0385, exactly 3√3682.
Is 33138 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33138?
33138 is a Harshad number: divisible by its digit sum 18.