The number 40672
40672 is a composite number with 24 divisors. Its prime factorisation is × 31 × 41. Divisors (24): 1, 2, 4, 8, 16, 31, 32, 41, 62, 82, 124, 164, 248, 328, 496, 656 … 40672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40672 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 40672 itself that is 44000, so 40672 is abundant (44000 is more than 40672). Euler's totient φ(40672) = 19200 numbers up to 40672 share no factor with it.
- 4
The digits of 40672 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40672 = 2^{5} \times 31 \times 41 \]40672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 19200 |
| Square | 1654211584 |
| Cube | 67280093544448 |
| Square root | 201.673003 (= 4√2542) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 36 |
| Scientific notation | 4.0672 × |
40672 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and seventy-two |
| Binary (base 2) | 1001111011100000 |
| Octal (base 8) | 117340 |
| Hexadecimal (base 16) | 9EE0 |
| Base 3 | 2001210101 |
| As time | 40672 seconds = 11 h 17 min 52 s |
Is 40672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40672 ÷ 2 = 20336) | 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 (40672 ÷ 4 = 10168) | 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 2) | 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 (40672 ÷ 8 = 5084) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 40672 a prime number?
No. 40672 = × 31 × 41, so it is divisible by 2.
What are the factors of 40672?
1, 2, 4, 8, 16, 31, 32, 41, 62, 82, 124, 164, 248, 328, 496, 656, 992, 1271, 1312, 2542, 5084, 10168, 20336, 40672.
What is 40672 in binary?
1001111011100000 (hexadecimal 9EE0, octal 117340).
What is the square root of 40672?
About 201.6730, exactly 4√2542.
Is 40672 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 40672?
It is a composite number with 24 divisors.