The number 77142
77142 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 13 × 23 × 43. Divisors (32): 1, 2, 3, 6, 13, 23, 26, 39, 43, 46, 69, 78, 86, 129, 138, 258 … 77142.
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How to work it out
- 1
77142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77142 is composite. Its prime factorisation is
- 3
The divisors add up to 177408; without 77142 itself that is 100266, so 77142 is abundant (100266 is more than 77142). Euler's totient φ(77142) = 22176 numbers up to 77142 share no factor with it.
- 4
The digits of 77142 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77142 = 2 \times 3 \times 13 \times 23 \times 43 \]
77142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 177408 |
| Euler totient φ(n) | 22176 |
| Square | 5950888164 |
| Cube | 459063414747288 |
| Square root | 277.744487 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7142 × |
77142 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and forty-two |
| Binary (base 2) | 10010110101010110 |
| Octal (base 8) | 226526 |
| Hexadecimal (base 16) | 12D56 |
| Base 3 | 10220211010 |
| As time | 77142 seconds = 21 h 25 min 42 s |
Is 77142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77142 ÷ 2 = 38571) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77142 ÷ 3 = 25714) | 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 (77142 ÷ 6 = 12857) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | 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 77142 a prime number?
No. 77142 = 2 × 3 × 13 × 23 × 43, so it is divisible by 2.
What are the factors of 77142?
1, 2, 3, 6, 13, 23, 26, 39, 43, 46, 69, 78, 86, 129, 138, 258, 299, 559, 598, 897, 989, 1118, 1677, 1794, 1978, 2967, 3354, 5934, 12857, 25714, 38571, 77142.
What is 77142 in binary?
10010110101010110 (hexadecimal 12D56, octal 226526).
What is the square root of 77142?
About 277.7445.
Is 77142 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 77142?
It is a composite number with 32 divisors.