The number 83724
83724 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6977. Divisors (12): 1, 2, 3, 4, 6, 12, 6977, 13954, 20931, 27908, 41862, 83724.
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How to work it out
- 1
83724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83724 is composite. Its prime factorisation is
- 3
The divisors add up to 195384; without 83724 itself that is 111660, so 83724 is abundant (111660 is more than 83724). Euler's totient φ(83724) = 27904 numbers up to 83724 share no factor with it.
- 4
The digits of 83724 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83724 = 2^{2} \times 3 \times 6977 \]83724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 195384 |
| Euler totient φ(n) | 27904 |
| Square | 7009708176 |
| Cube | 586880807327424 |
| Square root | 289.350998 (= 2√20931) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.3724 × |
83724 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand seven hundred and twenty-four |
| Binary (base 2) | 10100011100001100 |
| Octal (base 8) | 243414 |
| Hexadecimal (base 16) | 1470C |
| Base 3 | 11020211220 |
| As time | 83724 seconds = 23 h 15 min 24 s |
Is 83724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83724 ÷ 2 = 41862) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83724 ÷ 3 = 27908) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83724 ÷ 4 = 20931) | 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 | Yes (83724 ÷ 6 = 13954) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (83724 ÷ 12 = 6977) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83724 a prime number?
No. 83724 = × 3 × 6977, so it is divisible by 2.
What are the factors of 83724?
1, 2, 3, 4, 6, 12, 6977, 13954, 20931, 27908, 41862, 83724.
What is 83724 in binary?
10100011100001100 (hexadecimal 1470C, octal 243414).
What is the square root of 83724?
About 289.3510, exactly 2√20931.
Is 83724 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 83724?
It is a composite number with 12 divisors.