The number 43148
43148 is a composite number with 24 divisors. Its prime factorisation is × 7 × 23 × 67. Divisors (24): 1, 2, 4, 7, 14, 23, 28, 46, 67, 92, 134, 161, 268, 322, 469, 644 … 43148.
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How to work it out
- 1
43148 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43148 is composite. Its prime factorisation is
- 3
The divisors add up to 91392; without 43148 itself that is 48244, so 43148 is abundant (48244 is more than 43148). Euler's totient φ(43148) = 17424 numbers up to 43148 share no factor with it.
- 4
The digits of 43148 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43148 = 2^{2} \times 7 \times 23 \times 67 \]43148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91392 |
| Euler totient φ(n) | 17424 |
| Square | 1861749904 |
| Cube | 80330784857792 |
| Square root | 207.720967 (= 2√10787) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3148 × |
43148 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand one hundred and forty-eight |
| Binary (base 2) | 1010100010001100 |
| Octal (base 8) | 124214 |
| Hexadecimal (base 16) | A88C |
| Base 3 | 2012012002 |
| As time | 43148 seconds = 11 h 59 min 8 s |
Is 43148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43148 ÷ 2 = 21574) | 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 (43148 ÷ 4 = 10787) | 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 | Yes (43148 ÷ 7 = 6164) | 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 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43148 a prime number?
No. 43148 = × 7 × 23 × 67, so it is divisible by 2.
What are the factors of 43148?
1, 2, 4, 7, 14, 23, 28, 46, 67, 92, 134, 161, 268, 322, 469, 644, 938, 1541, 1876, 3082, 6164, 10787, 21574, 43148.
What is 43148 in binary?
1010100010001100 (hexadecimal A88C, octal 124214).
What is the square root of 43148?
About 207.7210, exactly 2√10787.
Is 43148 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 43148?
It is a composite number with 24 divisors.