The number 72542
72542 is a composite number with 16 divisors. Its prime factorisation is 2 × 19 × 23 × 83. Divisors (16): 1, 2, 19, 23, 38, 46, 83, 166, 437, 874, 1577, 1909, 3154, 3818, 36271, 72542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72542 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72542 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 72542 itself that is 48418, so 72542 is deficient (48418 is less than 72542). Euler's totient φ(72542) = 32472 numbers up to 72542 share no factor with it.
- 4
The digits of 72542 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72542 = 2 \times 19 \times 23 \times 83 \]
72542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 32472 |
| Square | 5262341764 |
| Cube | 381740796244088 |
| Square root | 269.336221 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2542 × |
72542 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand five hundred and forty-two |
| Binary (base 2) | 10001101101011110 |
| Octal (base 8) | 215536 |
| Hexadecimal (base 16) | 11B5E |
| Base 3 | 10200111202 |
| As time | 72542 seconds = 20 h 9 min 2 s |
Is 72542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72542 ÷ 2 = 36271) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72542 a prime number?
No. 72542 = 2 × 19 × 23 × 83, so it is divisible by 2.
What are the factors of 72542?
1, 2, 19, 23, 38, 46, 83, 166, 437, 874, 1577, 1909, 3154, 3818, 36271, 72542.
What is 72542 in binary?
10001101101011110 (hexadecimal 11B5E, octal 215536).
What is the square root of 72542?
About 269.3362.
Is 72542 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 72542?
It is a composite number with 16 divisors.