The number 73087
73087 is a composite number with 8 divisors. Its prime factorisation is 7 × 53 × 197. Divisors (8): 1, 7, 53, 197, 371, 1379, 10441, 73087.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73087 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73087 is composite. Its prime factorisation is
- 3
The divisors add up to 85536; without 73087 itself that is 12449, so 73087 is deficient (12449 is less than 73087). Euler's totient φ(73087) = 61152 numbers up to 73087 share no factor with it.
- 4
The digits of 73087 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73087 = 7 \times 53 \times 197 \]
73087 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 85536 |
| Euler totient φ(n) | 61152 |
| Square | 5341709569 |
| Cube | 390409527269503 |
| Square root | 270.346075 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.3087 × |
73087 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and eighty-seven |
| Binary (base 2) | 10001110101111111 |
| Octal (base 8) | 216577 |
| Hexadecimal (base 16) | 11D7F |
| Base 3 | 10201020221 |
| As time | 73087 seconds = 20 h 18 min 7 s |
Is 73087 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 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73087 ÷ 7 = 10441) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73087 a prime number?
No. 73087 = 7 × 53 × 197, so it is divisible by 7.
What are the factors of 73087?
1, 7, 53, 197, 371, 1379, 10441, 73087.
What is 73087 in binary?
10001110101111111 (hexadecimal 11D7F, octal 216577).
What is the square root of 73087?
About 270.3461.
Is 73087 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 73087?
It is a composite number with 8 divisors.