The number 72942
72942 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 12157. Divisors (8): 1, 2, 3, 6, 12157, 24314, 36471, 72942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72942 is composite. Its prime factorisation is
- 3
The divisors add up to 145896; without 72942 itself that is 72954, so 72942 is abundant (72954 is more than 72942). Euler's totient φ(72942) = 24312 numbers up to 72942 share no factor with it.
- 4
The digits of 72942 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72942 = 2 \times 3 \times 12157 \]
72942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 145896 |
| Euler totient φ(n) | 24312 |
| Square | 5320535364 |
| Cube | 388090490520888 |
| Square root | 270.077767 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.2942 × |
72942 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand nine hundred and forty-two |
| Binary (base 2) | 10001110011101110 |
| Octal (base 8) | 216356 |
| Hexadecimal (base 16) | 11CEE |
| Base 3 | 10201001120 |
| As time | 72942 seconds = 20 h 15 min 42 s |
Is 72942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72942 ÷ 2 = 36471) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72942 ÷ 3 = 24314) | 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 (72942 ÷ 6 = 12157) | 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 6) | 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 1) | 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 72942 a prime number?
No. 72942 = 2 × 3 × 12157, so it is divisible by 2.
What are the factors of 72942?
1, 2, 3, 6, 12157, 24314, 36471, 72942.
What is 72942 in binary?
10001110011101110 (hexadecimal 11CEE, octal 216356).
What is the square root of 72942?
About 270.0778.
Is 72942 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 72942?
It is a composite number with 8 divisors.