The number 40122
40122 is a composite number with 16 divisors. Its prime factorisation is 2 × × 743. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 743, 1486, 2229, 4458, 6687, 13374, 20061, 40122.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40122: a Harshad number: divisible by its digit sum 9.
- 2
40122 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 40122 itself that is 49158, so 40122 is abundant (49158 is more than 40122). Euler's totient φ(40122) = 13356 numbers up to 40122 share no factor with it.
- 4
The digits of 40122 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40122 = 2 \times 3^{3} \times 743 \]40122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 13356 |
| Square | 1609774884 |
| Cube | 64587387895848 |
| Square root | 200.304768 (= 3√4458) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0122 × |
40122 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and twenty-two |
| Binary (base 2) | 1001110010111010 |
| Octal (base 8) | 116272 |
| Hexadecimal (base 16) | 9CBA |
| Base 3 | 2001001000 |
| As time | 40122 seconds = 11 h 8 min 42 s |
Is 40122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40122 ÷ 2 = 20061) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40122 ÷ 3 = 13374) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40122 ÷ 6 = 6687) | 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 (40122 ÷ 9 = 4458) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40122 a prime number?
No. 40122 = 2 × × 743, so it is divisible by 2.
What are the factors of 40122?
1, 2, 3, 6, 9, 18, 27, 54, 743, 1486, 2229, 4458, 6687, 13374, 20061, 40122.
What is 40122 in binary?
1001110010111010 (hexadecimal 9CBA, octal 116272).
What is the square root of 40122?
About 200.3048, exactly 3√4458.
Is 40122 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 40122?
40122 is a Harshad number: divisible by its digit sum 9.