The number 40072
40072 is a composite number with 8 divisors. Its prime factorisation is × 5009. Divisors (8): 1, 2, 4, 8, 5009, 10018, 20036, 40072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40072 is composite. Its prime factorisation is
- 3
The divisors add up to 75150; without 40072 itself that is 35078, so 40072 is deficient (35078 is less than 40072). Euler's totient φ(40072) = 20032 numbers up to 40072 share no factor with it.
- 4
The digits of 40072 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40072 = 2^{3} \times 5009 \]40072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75150 |
| Euler totient φ(n) | 20032 |
| Square | 1605765184 |
| Cube | 64346222453248 |
| Square root | 200.179919 (= 2√10018) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0072 × |
40072 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and seventy-two |
| Binary (base 2) | 1001110010001000 |
| Octal (base 8) | 116210 |
| Hexadecimal (base 16) | 9C88 |
| Base 3 | 2000222011 |
| As time | 40072 seconds = 11 h 7 min 52 s |
Is 40072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40072 ÷ 2 = 20036) | 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 (40072 ÷ 4 = 10018) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 4) | 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 (40072 ÷ 8 = 5009) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40072 a prime number?
No. 40072 = × 5009, so it is divisible by 2.
What are the factors of 40072?
1, 2, 4, 8, 5009, 10018, 20036, 40072.
What is 40072 in binary?
1001110010001000 (hexadecimal 9C88, octal 116210).
What is the square root of 40072?
About 200.1799, exactly 2√10018.
Is 40072 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 40072?
It is a composite number with 8 divisors.