The number 73731
73731 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 3511. Divisors (8): 1, 3, 7, 21, 3511, 10533, 24577, 73731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73731: a Harshad number: divisible by its digit sum 21.
- 2
73731 is composite. Its prime factorisation is
- 3
The divisors add up to 112384; without 73731 itself that is 38653, so 73731 is deficient (38653 is less than 73731). Euler's totient φ(73731) = 42120 numbers up to 73731 share no factor with it.
- 4
The digits of 73731 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73731 = 3 \times 7 \times 3511 \]
73731 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 112384 |
| Euler totient φ(n) | 42120 |
| Square | 5436260361 |
| Cube | 400820912676891 |
| Square root | 271.534528 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3731 × |
73731 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and thirty-one |
| Binary (base 2) | 10010000000000011 |
| Octal (base 8) | 220003 |
| Hexadecimal (base 16) | 12003 |
| Base 3 | 10202010210 |
| As time | 73731 seconds = 20 h 28 min 51 s |
Is 73731 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 (73731 ÷ 3 = 24577) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | Yes (73731 ÷ 7 = 10533) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73731 a prime number?
No. 73731 = 3 × 7 × 3511, so it is divisible by 3.
What are the factors of 73731?
1, 3, 7, 21, 3511, 10533, 24577, 73731.
What is 73731 in binary?
10010000000000011 (hexadecimal 12003, octal 220003).
What is the square root of 73731?
About 271.5345.
Is 73731 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 73731?
73731 is a Harshad number: divisible by its digit sum 21.