The number 40148
40148 is a composite number with 6 divisors. Its prime factorisation is × 10037. Divisors (6): 1, 2, 4, 10037, 20074, 40148.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40148: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40148 is composite. Its prime factorisation is
- 3
The divisors add up to 70266; without 40148 itself that is 30118, so 40148 is deficient (30118 is less than 40148). Euler's totient φ(40148) = 20072 numbers up to 40148 share no factor with it.
- 4
The digits of 40148 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40148 = 2^{2} \times 10037 \]40148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 70266 |
| Euler totient φ(n) | 20072 |
| Square | 1611861904 |
| Cube | 64713031721792 |
| Square root | 200.369658 (= 2√10037) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0148 × |
40148 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and forty-eight |
| Binary (base 2) | 1001110011010100 |
| Octal (base 8) | 116324 |
| Hexadecimal (base 16) | 9CD4 |
| Base 3 | 2001001222 |
| As time | 40148 seconds = 11 h 9 min 8 s |
Is 40148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40148 ÷ 2 = 20074) | 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 (40148 ÷ 4 = 10037) | 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 | No (remainder 3) | 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 8) | 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 9) | 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 40148 a prime number?
No. 40148 = × 10037, so it is divisible by 2.
What are the factors of 40148?
1, 2, 4, 10037, 20074, 40148.
What is 40148 in binary?
1001110011010100 (hexadecimal 9CD4, octal 116324).
What is the square root of 40148?
About 200.3697, exactly 2√10037.
Is 40148 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40148?
40148 is a happy number: repeatedly adding the squares of its digits reaches 1.