The number 83730
83730 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 2791. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 2791, 5582, 8373, 13955, 16746, 27910, 41865, 83730.
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How to work it out
- 1
83730 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83730 is composite. Its prime factorisation is
- 3
The divisors add up to 201024; without 83730 itself that is 117294, so 83730 is abundant (117294 is more than 83730). Euler's totient φ(83730) = 22320 numbers up to 83730 share no factor with it.
- 4
The digits of 83730 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83730 = 2 \times 3 \times 5 \times 2791 \]
83730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 201024 |
| Euler totient φ(n) | 22320 |
| Square | 7010712900 |
| Cube | 587006991117000 |
| Square root | 289.361366 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.373 × |
83730 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand seven hundred and thirty |
| Binary (base 2) | 10100011100010010 |
| Octal (base 8) | 243422 |
| Hexadecimal (base 16) | 14712 |
| Base 3 | 11020212010 |
| As time | 83730 seconds = 23 h 15 min 30 s |
Is 83730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83730 ÷ 2 = 41865) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83730 ÷ 3 = 27910) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83730 ÷ 5 = 16746) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (83730 ÷ 6 = 13955) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | 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 | Yes (83730 ÷ 10 = 8373) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83730 a prime number?
No. 83730 = 2 × 3 × 5 × 2791, so it is divisible by 2.
What are the factors of 83730?
1, 2, 3, 5, 6, 10, 15, 30, 2791, 5582, 8373, 13955, 16746, 27910, 41865, 83730.
What is 83730 in binary?
10100011100010010 (hexadecimal 14712, octal 243422).
What is the square root of 83730?
About 289.3614.
Is 83730 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 83730?
It is a composite number with 16 divisors.