The number 83763
83763 is a composite number with 12 divisors. Its prime factorisation is × 41 × 227. Divisors (12): 1, 3, 9, 41, 123, 227, 369, 681, 2043, 9307, 27921, 83763.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83763: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
83763 is composite. Its prime factorisation is
- 3
The divisors add up to 124488; without 83763 itself that is 40725, so 83763 is deficient (40725 is less than 83763). Euler's totient φ(83763) = 54240 numbers up to 83763 share no factor with it.
- 4
The digits of 83763 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83763 = 3^{2} \times 41 \times 227 \]83763 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 124488 |
| Euler totient φ(n) | 54240 |
| Square | 7016240169 |
| Cube | 587701325275947 |
| Square root | 289.418382 (= 3√9307) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.3763 × |
83763 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand seven hundred and sixty-three |
| Binary (base 2) | 10100011100110011 |
| Octal (base 8) | 243463 |
| Hexadecimal (base 16) | 14733 |
| Base 3 | 11020220100 |
| As time | 83763 seconds = 23 h 16 min 3 s |
Is 83763 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 | Yes (83763 ÷ 3 = 27921) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (83763 ÷ 9 = 9307) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83763 a prime number?
No. 83763 = × 41 × 227, so it is divisible by 3.
What are the factors of 83763?
1, 3, 9, 41, 123, 227, 369, 681, 2043, 9307, 27921, 83763.
What is 83763 in binary?
10100011100110011 (hexadecimal 14733, octal 243463).
What is the square root of 83763?
About 289.4184, exactly 3√9307.
Is 83763 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 83763?
83763 is a happy number: repeatedly adding the squares of its digits reaches 1.