The number 72742
72742 is a composite number with 8 divisors. Its prime factorisation is 2 × 37 × 983. Divisors (8): 1, 2, 37, 74, 983, 1966, 36371, 72742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72742 is composite. Its prime factorisation is
- 3
The divisors add up to 112176; without 72742 itself that is 39434, so 72742 is deficient (39434 is less than 72742). Euler's totient φ(72742) = 35352 numbers up to 72742 share no factor with it.
- 4
The digits of 72742 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72742 = 2 \times 37 \times 983 \]
72742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 112176 |
| Euler totient φ(n) | 35352 |
| Square | 5291398564 |
| Cube | 384906914342488 |
| Square root | 269.707249 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.2742 × |
72742 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and forty-two |
| Binary (base 2) | 10001110000100110 |
| Octal (base 8) | 216046 |
| Hexadecimal (base 16) | 11C26 |
| Base 3 | 10200210011 |
| As time | 72742 seconds = 20 h 12 min 22 s |
Is 72742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72742 ÷ 2 = 36371) | 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 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 10) | 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 72742 a prime number?
No. 72742 = 2 × 37 × 983, so it is divisible by 2.
What are the factors of 72742?
1, 2, 37, 74, 983, 1966, 36371, 72742.
What is 72742 in binary?
10001110000100110 (hexadecimal 11C26, octal 216046).
What is the square root of 72742?
About 269.7072.
Is 72742 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 72742?
It is a composite number with 8 divisors.