The number 83764
83764 is a composite number with 12 divisors. Its prime factorisation is × 43 × 487. Divisors (12): 1, 2, 4, 43, 86, 172, 487, 974, 1948, 20941, 41882, 83764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83764 is composite. Its prime factorisation is
- 3
The divisors add up to 150304; without 83764 itself that is 66540, so 83764 is deficient (66540 is less than 83764). Euler's totient φ(83764) = 40824 numbers up to 83764 share no factor with it.
- 4
The digits of 83764 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83764 = 2^{2} \times 43 \times 487 \]83764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 150304 |
| Euler totient φ(n) | 40824 |
| Square | 7016407696 |
| Cube | 587722374247744 |
| Square root | 289.420110 (= 2√20941) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3764 × |
83764 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand seven hundred and sixty-four |
| Binary (base 2) | 10100011100110100 |
| Octal (base 8) | 243464 |
| Hexadecimal (base 16) | 14734 |
| Base 3 | 11020220101 |
| As time | 83764 seconds = 23 h 16 min 4 s |
Is 83764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83764 ÷ 2 = 41882) | 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 | Yes (83764 ÷ 4 = 20941) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83764 a prime number?
No. 83764 = × 43 × 487, so it is divisible by 2.
What are the factors of 83764?
1, 2, 4, 43, 86, 172, 487, 974, 1948, 20941, 41882, 83764.
What is 83764 in binary?
10100011100110100 (hexadecimal 14734, octal 243464).
What is the square root of 83764?
About 289.4201, exactly 2√20941.
Is 83764 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 83764?
It is a composite number with 12 divisors.