The number 42948
42948 is a composite number with 18 divisors. Its prime factorisation is × × 1193. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1193, 2386, 3579, 4772, 7158, 10737, 14316 … 42948.
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How to work it out
- 1
42948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42948 is composite. Its prime factorisation is
- 3
The divisors add up to 108654; without 42948 itself that is 65706, so 42948 is abundant (65706 is more than 42948). Euler's totient φ(42948) = 14304 numbers up to 42948 share no factor with it.
- 4
The digits of 42948 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42948 = 2^{2} \times 3^{2} \times 1193 \]42948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 108654 |
| Euler totient φ(n) | 14304 |
| Square | 1844530704 |
| Cube | 79218904675392 |
| Square root | 207.238992 (= 6√1193) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2948 × |
42948 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and forty-eight |
| Binary (base 2) | 1010011111000100 |
| Octal (base 8) | 123704 |
| Hexadecimal (base 16) | A7C4 |
| Base 3 | 2011220200 |
| As time | 42948 seconds = 11 h 55 min 48 s |
Is 42948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42948 ÷ 2 = 21474) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42948 ÷ 3 = 14316) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42948 ÷ 4 = 10737) | 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 | Yes (42948 ÷ 6 = 7158) | 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 | Yes (42948 ÷ 9 = 4772) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42948 ÷ 12 = 3579) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42948 a prime number?
No. 42948 = × × 1193, so it is divisible by 2.
What are the factors of 42948?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1193, 2386, 3579, 4772, 7158, 10737, 14316, 21474, 42948.
What is 42948 in binary?
1010011111000100 (hexadecimal A7C4, octal 123704).
What is the square root of 42948?
About 207.2390, exactly 6√1193.
Is 42948 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 42948?
It is a composite number with 18 divisors.