The number 38763
38763 is a composite number with 12 divisors. Its prime factorisation is × 59 × 73. Divisors (12): 1, 3, 9, 59, 73, 177, 219, 531, 657, 4307, 12921, 38763.
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How to work it out
- 1
What is special about 38763: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38763 is composite. Its prime factorisation is
- 3
The divisors add up to 57720; without 38763 itself that is 18957, so 38763 is deficient (18957 is less than 38763). Euler's totient φ(38763) = 25056 numbers up to 38763 share no factor with it.
- 4
The digits of 38763 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38763 = 3^{2} \times 59 \times 73 \]38763 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57720 |
| Euler totient φ(n) | 25056 |
| Square | 1502570169 |
| Cube | 58244127460947 |
| Square root | 196.883214 (= 3√4307) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8763 × |
38763 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and sixty-three |
| Binary (base 2) | 1001011101101011 |
| Octal (base 8) | 113553 |
| Hexadecimal (base 16) | 976B |
| Base 3 | 1222011200 |
| As time | 38763 seconds = 10 h 46 min 3 s |
Is 38763 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 (38763 ÷ 3 = 12921) | 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 4) | 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 (38763 ÷ 9 = 4307) | 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 10) | 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 38763 a prime number?
No. 38763 = × 59 × 73, so it is divisible by 3.
What are the factors of 38763?
1, 3, 9, 59, 73, 177, 219, 531, 657, 4307, 12921, 38763.
What is 38763 in binary?
1001011101101011 (hexadecimal 976B, octal 113553).
What is the square root of 38763?
About 196.8832, exactly 3√4307.
Is 38763 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38763?
38763 is a happy number: repeatedly adding the squares of its digits reaches 1.