The number 43741
43741 is a composite number with 8 divisors. Its prime factorisation is 17 × 31 × 83. Divisors (8): 1, 17, 31, 83, 527, 1411, 2573, 43741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43741: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43741 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 43741 itself that is 4643, so 43741 is deficient (4643 is less than 43741). Euler's totient φ(43741) = 39360 numbers up to 43741 share no factor with it.
- 4
The digits of 43741 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43741 = 17 \times 31 \times 83 \]
43741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 39360 |
| Square | 1913275081 |
| Cube | 83688565318021 |
| Square root | 209.143491 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.3741 × |
43741 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand seven hundred and forty-one |
| Binary (base 2) | 1010101011011101 |
| Octal (base 8) | 125335 |
| Hexadecimal (base 16) | AADD |
| Base 3 | 2020000001 |
| As time | 43741 seconds = 12 h 9 min 1 s |
Is 43741 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43741 a prime number?
No. 43741 = 17 × 31 × 83, so it is divisible by 17.
What are the factors of 43741?
1, 17, 31, 83, 527, 1411, 2573, 43741.
What is 43741 in binary?
1010101011011101 (hexadecimal AADD, octal 125335).
What is the square root of 43741?
About 209.1435.
Is 43741 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 43741?
43741 is a happy number: repeatedly adding the squares of its digits reaches 1.