The number 33040
33040 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 59. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 59, 70 … 33040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33040: a Harshad number: divisible by its digit sum 10.
- 2
33040 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 33040 itself that is 56240, so 33040 is abundant (56240 is more than 33040). Euler's totient φ(33040) = 11136 numbers up to 33040 share no factor with it.
- 4
The digits of 33040 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33040 = 2^{4} \times 5 \times 7 \times 59 \]33040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 11136 |
| Square | 1091641600 |
| Cube | 36067838464000 |
| Square root | 181.769084 (= 4√2065) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.304 × |
33040 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and forty |
| Binary (base 2) | 1000000100010000 |
| Octal (base 8) | 100420 |
| Hexadecimal (base 16) | 8110 |
| Base 3 | 1200022201 |
| As time | 33040 seconds = 9 h 10 min 40 s |
Is 33040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33040 ÷ 2 = 16520) | 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 (33040 ÷ 4 = 8260) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33040 ÷ 5 = 6608) | 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 | Yes (33040 ÷ 7 = 4720) | 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 | Yes (33040 ÷ 8 = 4130) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33040 ÷ 10 = 3304) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 33040 a prime number?
No. 33040 = × 5 × 7 × 59, so it is divisible by 2.
What are the factors of 33040?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 59, 70, 80, 112, 118, 140, 236, 280, 295, 413, 472, 560, 590, 826, 944, 1180, 1652, 2065, 2360, 3304, 4130, 4720, 6608, 8260, 16520, 33040.
What is 33040 in binary?
1000000100010000 (hexadecimal 8110, octal 100420).
What is the square root of 33040?
About 181.7691, exactly 4√2065.
Is 33040 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 33040?
33040 is a Harshad number: divisible by its digit sum 10.