The number 83741
83741 is a composite number with 6 divisors. Its prime factorisation is Ć 1709. Divisors (6): 1, 7, 49, 1709, 11963, 83741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83741: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
83741 is composite. Its prime factorisation is
- 3
The divisors add up to 97470; without 83741 itself that is 13729, so 83741 is deficient (13729 is less than 83741). Euler's totient Ļ(83741) = 71736 numbers up to 83741 share no factor with it.
- 4
The digits of 83741 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83741 = 7^{2} \times 1709 \]83741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 97470 |
| Euler totient Ļ(n) | 71736 |
| Square | 7012555081 |
| Cube | 587238375038021 |
| Square root | 289.380373 (= 7ā1709) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 63 |
| Scientific notation | 8.3741 Ć |
83741 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand seven hundred and forty-one |
| Binary (base 2) | 10100011100011101 |
| Octal (base 8) | 243435 |
| Hexadecimal (base 16) | 1471D |
| Base 3 | 11020212112 |
| As time | 83741 seconds = 23 h 15 min 41 s |
Is 83741 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (83741 Ć· 7 = 11963) | 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 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83741 a prime number?
No. 83741 = Ć 1709, so it is divisible by 7.
What are the factors of 83741?
1, 7, 49, 1709, 11963, 83741.
What is 83741 in binary?
10100011100011101 (hexadecimal 1471D, octal 243435).
What is the square root of 83741?
About 289.3804, exactly 7ā1709.
Is 83741 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 83741?
83741 is a happy number: repeatedly adding the squares of its digits reaches 1.