The number 71742
71742 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 1087. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 1087, 2174, 3261, 6522, 11957, 23914, 35871, 71742.
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How to work it out
- 1
71742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71742 is composite. Its prime factorisation is
- 3
The divisors add up to 156672; without 71742 itself that is 84930, so 71742 is abundant (84930 is more than 71742). Euler's totient φ(71742) = 21720 numbers up to 71742 share no factor with it.
- 4
The digits of 71742 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 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71742 = 2 \times 3 \times 11 \times 1087 \]
71742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 156672 |
| Euler totient φ(n) | 21720 |
| Square | 5146914564 |
| Cube | 369249944650488 |
| Square root | 267.846971 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 174 |
| Scientific notation | 7.1742 × |
71742 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand seven hundred and forty-two |
| Binary (base 2) | 10001100000111110 |
| Octal (base 8) | 214076 |
| Hexadecimal (base 16) | 1183E |
| Base 3 | 10122102010 |
| As time | 71742 seconds = 19 h 55 min 42 s |
Is 71742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71742 ÷ 2 = 35871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71742 ÷ 3 = 23914) | 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 (71742 ÷ 6 = 11957) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 | Yes (71742 ÷ 11 = 6522) | 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 71742 a prime number?
No. 71742 = 2 × 3 × 11 × 1087, so it is divisible by 2.
What are the factors of 71742?
1, 2, 3, 6, 11, 22, 33, 66, 1087, 2174, 3261, 6522, 11957, 23914, 35871, 71742.
What is 71742 in binary?
10001100000111110 (hexadecimal 1183E, octal 214076).
What is the square root of 71742?
About 267.8470.
Is 71742 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 71742?
It is a composite number with 16 divisors.