The number 73742
73742 is a composite number with 4 divisors. Its prime factorisation is 2 × 36871. Divisors (4): 1, 2, 36871, 73742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73742: a semiprime: 2 × 36871, the product of two primes.
- 2
73742 is composite. Its prime factorisation is
- 3
The divisors add up to 110616; without 73742 itself that is 36874, so 73742 is deficient (36874 is less than 73742). Euler's totient φ(73742) = 36870 numbers up to 73742 share no factor with it.
- 4
The digits of 73742 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73742 = 2 \times 36871 \]
73742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 110616 |
| Euler totient φ(n) | 36870 |
| Square | 5437882564 |
| Cube | 401000336034488 |
| Square root | 271.554783 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3742 × |
73742 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and forty-two |
| Binary (base 2) | 10010000000001110 |
| Octal (base 8) | 220016 |
| Hexadecimal (base 16) | 1200E |
| Base 3 | 10202011012 |
| As time | 73742 seconds = 20 h 29 min 2 s |
Is 73742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73742 ÷ 2 = 36871) | 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 4) | 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 5) | 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 9) | 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 73742 a prime number?
No. 73742 = 2 × 36871, so it is divisible by 2.
What are the factors of 73742?
1, 2, 36871, 73742.
What is 73742 in binary?
10010000000001110 (hexadecimal 1200E, octal 220016).
What is the square root of 73742?
About 271.5548.
Is 73742 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 73742?
73742 is a semiprime: 2 × 36871, the product of two primes.