The number 73129
73129 is a composite number with 8 divisors. Its prime factorisation is 7 × 31 × 337. Divisors (8): 1, 7, 31, 217, 337, 2359, 10447, 73129.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73129 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73129 is composite. Its prime factorisation is
- 3
The divisors add up to 86528; without 73129 itself that is 13399, so 73129 is deficient (13399 is less than 73129). Euler's totient φ(73129) = 60480 numbers up to 73129 share no factor with it.
- 4
The digits of 73129 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73129 = 7 \times 31 \times 337 \]
73129 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 86528 |
| Euler totient φ(n) | 60480 |
| Square | 5347850641 |
| Cube | 391082969525689 |
| Square root | 270.423742 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.3129 × |
73129 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and twenty-nine |
| Binary (base 2) | 10001110110101001 |
| Octal (base 8) | 216651 |
| Hexadecimal (base 16) | 11DA9 |
| Base 3 | 10201022111 |
| As time | 73129 seconds = 20 h 18 min 49 s |
Is 73129 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 | Yes (73129 ÷ 7 = 10447) | 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 4) | 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 1) | 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 73129 a prime number?
No. 73129 = 7 × 31 × 337, so it is divisible by 7.
What are the factors of 73129?
1, 7, 31, 217, 337, 2359, 10447, 73129.
What is 73129 in binary?
10001110110101001 (hexadecimal 11DA9, octal 216651).
What is the square root of 73129?
About 270.4237.
Is 73129 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 73129?
It is a composite number with 8 divisors.