The number 40131
40131 is a composite number with 24 divisors. Its prime factorisation is × × 13. Divisors (24): 1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 343, 441, 637 … 40131.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40131: a Harshad number: divisible by its digit sum 9.
- 2
40131 is composite. Its prime factorisation is
- 3
The divisors add up to 72800; without 40131 itself that is 32669, so 40131 is deficient (32669 is less than 40131). Euler's totient φ(40131) = 21168 numbers up to 40131 share no factor with it.
- 4
The digits of 40131 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40131 = 3^{2} \times 7^{3} \times 13 \]40131 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 72800 |
| Euler totient φ(n) | 21168 |
| Square | 1610497161 |
| Cube | 64630861568091 |
| Square root | 200.327232 (= 21√91) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0131 × |
40131 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and thirty-one |
| Binary (base 2) | 1001110011000011 |
| Octal (base 8) | 116303 |
| Hexadecimal (base 16) | 9CC3 |
| Base 3 | 2001001100 |
| As time | 40131 seconds = 11 h 8 min 51 s |
Is 40131 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 | Yes (40131 ÷ 3 = 13377) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40131 ÷ 7 = 5733) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40131 ÷ 9 = 4459) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40131 a prime number?
No. 40131 = × × 13, so it is divisible by 3.
What are the factors of 40131?
1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 343, 441, 637, 819, 1029, 1911, 3087, 4459, 5733, 13377, 40131.
What is 40131 in binary?
1001110011000011 (hexadecimal 9CC3, octal 116303).
What is the square root of 40131?
About 200.3272, exactly 21√91.
Is 40131 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 40131?
40131 is a Harshad number: divisible by its digit sum 9.