The number 40073
40073 is a composite number with 4 divisors. Its prime factorisation is 11 × 3643. Divisors (4): 1, 11, 3643, 40073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40073: a semiprime: 11 × 3643, the product of two primes.
- 2
40073 is composite. Its prime factorisation is
- 3
The divisors add up to 43728; without 40073 itself that is 3655, so 40073 is deficient (3655 is less than 40073). Euler's totient φ(40073) = 36420 numbers up to 40073 share no factor with it.
- 4
The digits of 40073 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40073 = 11 \times 3643 \]
40073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 43728 |
| Euler totient φ(n) | 36420 |
| Square | 1605845329 |
| Cube | 64351039869017 |
| Square root | 200.182417 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.0073 × |
40073 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and seventy-three |
| Binary (base 2) | 1001110010001001 |
| Octal (base 8) | 116211 |
| Hexadecimal (base 16) | 9C89 |
| Base 3 | 2000222012 |
| As time | 40073 seconds = 11 h 7 min 53 s |
Is 40073 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | 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 | Yes (40073 ÷ 11 = 3643) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40073 a prime number?
No. 40073 = 11 × 3643, so it is divisible by 11.
What are the factors of 40073?
1, 11, 3643, 40073.
What is 40073 in binary?
1001110010001001 (hexadecimal 9C89, octal 116211).
What is the square root of 40073?
About 200.1824.
Is 40073 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 40073?
40073 is a semiprime: 11 × 3643, the product of two primes.