The number 40048
40048 is a composite number with 10 divisors. Its prime factorisation is × 2503. Divisors (10): 1, 2, 4, 8, 16, 2503, 5006, 10012, 20024, 40048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40048: a Harshad number: divisible by its digit sum 16.
- 2
40048 is composite. Its prime factorisation is
- 3
The divisors add up to 77624; without 40048 itself that is 37576, so 40048 is deficient (37576 is less than 40048). Euler's totient φ(40048) = 20016 numbers up to 40048 share no factor with it.
- 4
The digits of 40048 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40048 = 2^{4} \times 2503 \]40048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 77624 |
| Euler totient φ(n) | 20016 |
| Square | 1603842304 |
| Cube | 64230676590592 |
| Square root | 200.119964 (= 4√2503) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0048 × |
40048 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and forty-eight |
| Binary (base 2) | 1001110001110000 |
| Octal (base 8) | 116160 |
| Hexadecimal (base 16) | 9C70 |
| Base 3 | 2000221021 |
| As time | 40048 seconds = 11 h 7 min 28 s |
Is 40048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40048 ÷ 2 = 20024) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40048 ÷ 4 = 10012) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (40048 ÷ 8 = 5006) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40048 a prime number?
No. 40048 = × 2503, so it is divisible by 2.
What are the factors of 40048?
1, 2, 4, 8, 16, 2503, 5006, 10012, 20024, 40048.
What is 40048 in binary?
1001110001110000 (hexadecimal 9C70, octal 116160).
What is the square root of 40048?
About 200.1200, exactly 4√2503.
Is 40048 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40048?
40048 is a Harshad number: divisible by its digit sum 16.