The number 73701
73701 is a composite number with 12 divisors. Its prime factorisation is × 19 × 431. Divisors (12): 1, 3, 9, 19, 57, 171, 431, 1293, 3879, 8189, 24567, 73701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73701 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73701 is composite. Its prime factorisation is
- 3
The divisors add up to 112320; without 73701 itself that is 38619, so 73701 is deficient (38619 is less than 73701). Euler's totient φ(73701) = 46440 numbers up to 73701 share no factor with it.
- 4
The digits of 73701 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73701 = 3^{2} \times 19 \times 431 \]73701 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 112320 |
| Euler totient φ(n) | 46440 |
| Square | 5431837401 |
| Cube | 400331848291101 |
| Square root | 271.479281 (= 3√8189) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.3701 × |
73701 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and one |
| Binary (base 2) | 10001111111100101 |
| Octal (base 8) | 217745 |
| Hexadecimal (base 16) | 11FE5 |
| Base 3 | 10202002200 |
| As time | 73701 seconds = 20 h 28 min 21 s |
Is 73701 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73701 ÷ 3 = 24567) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73701 ÷ 9 = 8189) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73701 a prime number?
No. 73701 = × 19 × 431, so it is divisible by 3.
What are the factors of 73701?
1, 3, 9, 19, 57, 171, 431, 1293, 3879, 8189, 24567, 73701.
What is 73701 in binary?
10001111111100101 (hexadecimal 11FE5, octal 217745).
What is the square root of 73701?
About 271.4793, exactly 3√8189.
Is 73701 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 73701?
It is a composite number with 12 divisors.