The number 40626
40626 is a composite number with 24 divisors. Its prime factorisation is 2 × × 37 × 61. Divisors (24): 1, 2, 3, 6, 9, 18, 37, 61, 74, 111, 122, 183, 222, 333, 366, 549 … 40626.
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How to work it out
- 1
What is special about 40626: a Harshad number: divisible by its digit sum 18.
- 2
40626 is composite. Its prime factorisation is
- 3
The divisors add up to 91884; without 40626 itself that is 51258, so 40626 is abundant (51258 is more than 40626). Euler's totient φ(40626) = 12960 numbers up to 40626 share no factor with it.
- 4
The digits of 40626 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40626 = 2 \times 3^{2} \times 37 \times 61 \]40626 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91884 |
| Euler totient φ(n) | 12960 |
| Square | 1650471876 |
| Cube | 67052070434376 |
| Square root | 201.558924 (= 3√4514) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0626 × |
40626 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and twenty-six |
| Binary (base 2) | 1001111010110010 |
| Octal (base 8) | 117262 |
| Hexadecimal (base 16) | 9EB2 |
| Base 3 | 2001201200 |
| As time | 40626 seconds = 11 h 17 min 6 s |
Is 40626 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40626 ÷ 2 = 20313) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40626 ÷ 3 = 13542) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40626 ÷ 6 = 6771) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40626 ÷ 9 = 4514) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40626 a prime number?
No. 40626 = 2 × × 37 × 61, so it is divisible by 2.
What are the factors of 40626?
1, 2, 3, 6, 9, 18, 37, 61, 74, 111, 122, 183, 222, 333, 366, 549, 666, 1098, 2257, 4514, 6771, 13542, 20313, 40626.
What is 40626 in binary?
1001111010110010 (hexadecimal 9EB2, octal 117262).
What is the square root of 40626?
About 201.5589, exactly 3√4514.
Is 40626 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40626?
40626 is a Harshad number: divisible by its digit sum 18.