The number 40033
40033 is a taxicab number: it is the sum of two cubes in 2 ways (9³ + 34³ and 16³ + 33³). Its prime factorisation is × 19 × 43. Divisors (12): 1, 7, 19, 43, 49, 133, 301, 817, 931, 2107, 5719, 40033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40033: a taxicab number: it is the sum of two cubes in 2 ways (9³ + 34³ and 16³ + 33³).
- 2
40033 is composite. Its prime factorisation is
- 3
The divisors add up to 50160; without 40033 itself that is 10127, so 40033 is deficient (10127 is less than 40033). Euler's totient φ(40033) = 31752 numbers up to 40033 share no factor with it.
- 4
The digits of 40033 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40033 = 7^{2} \times 19 \times 43 \]40033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 50160 |
| Euler totient φ(n) | 31752 |
| Square | 1602641089 |
| Cube | 64158530715937 |
| Square root | 200.082483 (= 7√817) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0033 × |
40033 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and thirty-three |
| Binary (base 2) | 1001110001100001 |
| Octal (base 8) | 116141 |
| Hexadecimal (base 16) | 9C61 |
| Base 3 | 2000220201 |
| As time | 40033 seconds = 11 h 7 min 13 s |
Is 40033 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40033 ÷ 7 = 5719) | 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 1) | 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 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40033 a prime number?
No. 40033 = × 19 × 43, so it is divisible by 7.
What are the factors of 40033?
1, 7, 19, 43, 49, 133, 301, 817, 931, 2107, 5719, 40033.
What is 40033 in binary?
1001110001100001 (hexadecimal 9C61, octal 116141).
What is the square root of 40033?
About 200.0825, exactly 7√817.
Is 40033 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 40033?
40033 is a taxicab number: it is the sum of two cubes in 2 ways (9³ + 34³ and 16³ + 33³).