The number 73729
73729 is a composite number with 4 divisors. Its prime factorisation is 17 × 4337. Divisors (4): 1, 17, 4337, 73729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73729: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 4337, the product of two primes.
- 2
73729 is composite. Its prime factorisation is
- 3
The divisors add up to 78084; without 73729 itself that is 4355, so 73729 is deficient (4355 is less than 73729). Euler's totient φ(73729) = 69376 numbers up to 73729 share no factor with it.
- 4
The digits of 73729 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73729 = 17 \times 4337 \]
73729 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 78084 |
| Euler totient φ(n) | 69376 |
| Square | 5435965441 |
| Cube | 400788295999489 |
| Square root | 271.530845 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3729 × |
73729 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and twenty-nine |
| Binary (base 2) | 10010000000000001 |
| Octal (base 8) | 220001 |
| Hexadecimal (base 16) | 12001 |
| Base 3 | 10202010201 |
| As time | 73729 seconds = 20 h 28 min 49 s |
Is 73729 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 | No (remainder 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73729 a prime number?
No. 73729 = 17 × 4337, so it is divisible by 17.
What are the factors of 73729?
1, 17, 4337, 73729.
What is 73729 in binary?
10010000000000001 (hexadecimal 12001, octal 220001).
What is the square root of 73729?
About 271.5308.
Is 73729 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 73729?
73729 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 4337, the product of two primes.