The number 51742
51742 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 631. Divisors (8): 1, 2, 41, 82, 631, 1262, 25871, 51742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
51742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
51742 is composite. Its prime factorisation is
- 3
The divisors add up to 79632; without 51742 itself that is 27890, so 51742 is deficient (27890 is less than 51742). Euler's totient φ(51742) = 25200 numbers up to 51742 share no factor with it.
- 4
The digits of 51742 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51742 = 2 \times 41 \times 631 \]
51742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 79632 |
| Euler totient φ(n) | 25200 |
| Square | 2677234564 |
| Cube | 138525470810488 |
| Square root | 227.468679 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.1742 × |
51742 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand seven hundred and forty-two |
| Binary (base 2) | 1100101000011110 |
| Octal (base 8) | 145036 |
| Hexadecimal (base 16) | CA1E |
| Base 3 | 2121222101 |
| As time | 51742 seconds = 14 h 22 min 22 s |
Is 51742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51742 ÷ 2 = 25871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51742 a prime number?
No. 51742 = 2 × 41 × 631, so it is divisible by 2.
What are the factors of 51742?
1, 2, 41, 82, 631, 1262, 25871, 51742.
What is 51742 in binary?
1100101000011110 (hexadecimal CA1E, octal 145036).
What is the square root of 51742?
About 227.4687.
Is 51742 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 51742?
It is a composite number with 8 divisors.