The number 83748
83748 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 997. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 997, 1994, 2991, 3988 … 83748.
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How to work it out
- 1
83748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83748 is composite. Its prime factorisation is
- 3
The divisors add up to 223552; without 83748 itself that is 139804, so 83748 is abundant (139804 is more than 83748). Euler's totient φ(83748) = 23904 numbers up to 83748 share no factor with it.
- 4
The digits of 83748 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83748 = 2^{2} \times 3 \times 7 \times 997 \]83748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 223552 |
| Euler totient φ(n) | 23904 |
| Square | 7013727504 |
| Cube | 587385651004992 |
| Square root | 289.392467 (= 2√20937) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3748 × |
83748 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand seven hundred and forty-eight |
| Binary (base 2) | 10100011100100100 |
| Octal (base 8) | 243444 |
| Hexadecimal (base 16) | 14724 |
| Base 3 | 11020212210 |
| As time | 83748 seconds = 23 h 15 min 48 s |
Is 83748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83748 ÷ 2 = 41874) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83748 ÷ 3 = 27916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83748 ÷ 4 = 20937) | 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 | Yes (83748 ÷ 6 = 13958) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (83748 ÷ 7 = 11964) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (83748 ÷ 12 = 6979) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83748 a prime number?
No. 83748 = × 3 × 7 × 997, so it is divisible by 2.
What are the factors of 83748?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 997, 1994, 2991, 3988, 5982, 6979, 11964, 13958, 20937, 27916, 41874, 83748.
What is 83748 in binary?
10100011100100100 (hexadecimal 14724, octal 243444).
What is the square root of 83748?
About 289.3925, exactly 2√20937.
Is 83748 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 83748?
It is a composite number with 24 divisors.