The number 40212
40212 is a composite number with 18 divisors. Its prime factorisation is × × 1117. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1117, 2234, 3351, 4468, 6702, 10053, 13404 … 40212.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40212: a Harshad number: divisible by its digit sum 9.
- 2
40212 is composite. Its prime factorisation is
- 3
The divisors add up to 101738; without 40212 itself that is 61526, so 40212 is abundant (61526 is more than 40212). Euler's totient φ(40212) = 13392 numbers up to 40212 share no factor with it.
- 4
The digits of 40212 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40212 = 2^{2} \times 3^{2} \times 1117 \]40212 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 101738 |
| Euler totient φ(n) | 13392 |
| Square | 1617004944 |
| Cube | 65023002808128 |
| Square root | 200.529300 (= 6√1117) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0212 × |
40212 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and twelve |
| Binary (base 2) | 1001110100010100 |
| Octal (base 8) | 116424 |
| Hexadecimal (base 16) | 9D14 |
| Base 3 | 2001011100 |
| As time | 40212 seconds = 11 h 10 min 12 s |
Is 40212 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40212 ÷ 2 = 20106) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40212 ÷ 3 = 13404) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40212 ÷ 4 = 10053) | 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 | Yes (40212 ÷ 6 = 6702) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40212 ÷ 9 = 4468) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40212 ÷ 12 = 3351) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40212 a prime number?
No. 40212 = × × 1117, so it is divisible by 2.
What are the factors of 40212?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1117, 2234, 3351, 4468, 6702, 10053, 13404, 20106, 40212.
What is 40212 in binary?
1001110100010100 (hexadecimal 9D14, octal 116424).
What is the square root of 40212?
About 200.5293, exactly 6√1117.
Is 40212 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 40212?
40212 is a Harshad number: divisible by its digit sum 9.