The number 72142
72142 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 5153. Divisors (8): 1, 2, 7, 14, 5153, 10306, 36071, 72142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72142 is composite. Its prime factorisation is
- 3
The divisors add up to 123696; without 72142 itself that is 51554, so 72142 is deficient (51554 is less than 72142). Euler's totient φ(72142) = 30912 numbers up to 72142 share no factor with it.
- 4
The digits of 72142 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72142 = 2 \times 7 \times 5153 \]
72142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 123696 |
| Euler totient φ(n) | 30912 |
| Square | 5204468164 |
| Cube | 375460742287288 |
| Square root | 268.592628 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2142 × |
72142 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and forty-two |
| Binary (base 2) | 10001100111001110 |
| Octal (base 8) | 214716 |
| Hexadecimal (base 16) | 119CE |
| Base 3 | 10122221221 |
| As time | 72142 seconds = 20 h 2 min 22 s |
Is 72142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72142 ÷ 2 = 36071) | 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 (72142 ÷ 7 = 10306) | 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 7) | 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 4) | 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 72142 a prime number?
No. 72142 = 2 × 7 × 5153, so it is divisible by 2.
What are the factors of 72142?
1, 2, 7, 14, 5153, 10306, 36071, 72142.
What is 72142 in binary?
10001100111001110 (hexadecimal 119CE, octal 214716).
What is the square root of 72142?
About 268.5926.
Is 72142 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 72142?
It is a composite number with 8 divisors.