The number 63742
63742 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 29 × 157. Divisors (16): 1, 2, 7, 14, 29, 58, 157, 203, 314, 406, 1099, 2198, 4553, 9106, 31871, 63742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
63742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
63742 is composite. Its prime factorisation is
- 3
The divisors add up to 113760; without 63742 itself that is 50018, so 63742 is deficient (50018 is less than 63742). Euler's totient φ(63742) = 26208 numbers up to 63742 share no factor with it.
- 4
The digits of 63742 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 63742 = 2 \times 7 \times 29 \times 157 \]
63742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 113760 |
| Euler totient φ(n) | 26208 |
| Square | 4063042564 |
| Cube | 258986459114488 |
| Square root | 252.471781 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.3742 × |
63742 in other forms
| Form | Value |
|---|---|
| In words | sixty-three thousand seven hundred and forty-two |
| Binary (base 2) | 1111100011111110 |
| Octal (base 8) | 174376 |
| Hexadecimal (base 16) | F8FE |
| Base 3 | 10020102211 |
| As time | 63742 seconds = 17 h 42 min 22 s |
Is 63742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (63742 ÷ 2 = 31871) | 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 | Yes (63742 ÷ 7 = 9106) | 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 4) | 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 8) | 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 63742 a prime number?
No. 63742 = 2 × 7 × 29 × 157, so it is divisible by 2.
What are the factors of 63742?
1, 2, 7, 14, 29, 58, 157, 203, 314, 406, 1099, 2198, 4553, 9106, 31871, 63742.
What is 63742 in binary?
1111100011111110 (hexadecimal F8FE, octal 174376).
What is the square root of 63742?
About 252.4718.
Is 63742 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 63742?
It is a composite number with 16 divisors.