The number 40628
40628 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1451. Divisors (12): 1, 2, 4, 7, 14, 28, 1451, 2902, 5804, 10157, 20314, 40628.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40628 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40628 is composite. Its prime factorisation is
- 3
The divisors add up to 81312; without 40628 itself that is 40684, so 40628 is abundant (40684 is more than 40628). Euler's totient φ(40628) = 17400 numbers up to 40628 share no factor with it.
- 4
The digits of 40628 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40628 = 2^{2} \times 7 \times 1451 \]40628 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 81312 |
| Euler totient φ(n) | 17400 |
| Square | 1650634384 |
| Cube | 67061973753152 |
| Square root | 201.563886 (= 2√10157) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0628 × |
40628 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and twenty-eight |
| Binary (base 2) | 1001111010110100 |
| Octal (base 8) | 117264 |
| Hexadecimal (base 16) | 9EB4 |
| Base 3 | 2001201202 |
| As time | 40628 seconds = 11 h 17 min 8 s |
Is 40628 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40628 ÷ 2 = 20314) | 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 | Yes (40628 ÷ 4 = 10157) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40628 ÷ 7 = 5804) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40628 a prime number?
No. 40628 = × 7 × 1451, so it is divisible by 2.
What are the factors of 40628?
1, 2, 4, 7, 14, 28, 1451, 2902, 5804, 10157, 20314, 40628.
What is 40628 in binary?
1001111010110100 (hexadecimal 9EB4, octal 117264).
What is the square root of 40628?
About 201.5639, exactly 2√10157.
Is 40628 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 40628?
It is a composite number with 12 divisors.