The number 40948
40948 is a composite number with 12 divisors. Its prime factorisation is × 29 × 353. Divisors (12): 1, 2, 4, 29, 58, 116, 353, 706, 1412, 10237, 20474, 40948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40948 is composite. Its prime factorisation is
- 3
The divisors add up to 74340; without 40948 itself that is 33392, so 40948 is deficient (33392 is less than 40948). Euler's totient φ(40948) = 19712 numbers up to 40948 share no factor with it.
- 4
The digits of 40948 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40948 = 2^{2} \times 29 \times 353 \]40948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 74340 |
| Euler totient φ(n) | 19712 |
| Square | 1676738704 |
| Cube | 68659096451392 |
| Square root | 202.356122 (= 2√10237) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.0948 × |
40948 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and forty-eight |
| Binary (base 2) | 1001111111110100 |
| Octal (base 8) | 117764 |
| Hexadecimal (base 16) | 9FF4 |
| Base 3 | 2002011121 |
| As time | 40948 seconds = 11 h 22 min 28 s |
Is 40948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40948 ÷ 2 = 20474) | 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 (40948 ÷ 4 = 10237) | 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 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 4) | 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 6) | 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 40948 a prime number?
No. 40948 = × 29 × 353, so it is divisible by 2.
What are the factors of 40948?
1, 2, 4, 29, 58, 116, 353, 706, 1412, 10237, 20474, 40948.
What is 40948 in binary?
1001111111110100 (hexadecimal 9FF4, octal 117764).
What is the square root of 40948?
About 202.3561, exactly 2√10237.
Is 40948 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 40948?
It is a composite number with 12 divisors.