The number 83742
83742 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 821. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 821, 1642, 2463, 4926, 13957, 27914, 41871, 83742.
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How to work it out
- 1
83742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83742 is composite. Its prime factorisation is
- 3
The divisors add up to 177552; without 83742 itself that is 93810, so 83742 is abundant (93810 is more than 83742). Euler's totient φ(83742) = 26240 numbers up to 83742 share no factor with it.
- 4
The digits of 83742 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83742 = 2 \times 3 \times 17 \times 821 \]
83742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 177552 |
| Euler totient φ(n) | 26240 |
| Square | 7012722564 |
| Cube | 587259412954488 |
| Square root | 289.382100 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 8.3742 × |
83742 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand seven hundred and forty-two |
| Binary (base 2) | 10100011100011110 |
| Octal (base 8) | 243436 |
| Hexadecimal (base 16) | 1471E |
| Base 3 | 11020212120 |
| As time | 83742 seconds = 23 h 15 min 42 s |
Is 83742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83742 ÷ 2 = 41871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83742 ÷ 3 = 27914) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (83742 ÷ 6 = 13957) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | 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 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83742 a prime number?
No. 83742 = 2 × 3 × 17 × 821, so it is divisible by 2.
What are the factors of 83742?
1, 2, 3, 6, 17, 34, 51, 102, 821, 1642, 2463, 4926, 13957, 27914, 41871, 83742.
What is 83742 in binary?
10100011100011110 (hexadecimal 1471E, octal 243436).
What is the square root of 83742?
About 289.3821.
Is 83742 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 83742?
It is a composite number with 16 divisors.