The number 73090
73090 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 7309. Divisors (8): 1, 2, 5, 10, 7309, 14618, 36545, 73090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73090: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73090 is composite. Its prime factorisation is
- 3
The divisors add up to 131580; without 73090 itself that is 58490, so 73090 is deficient (58490 is less than 73090). Euler's totient φ(73090) = 29232 numbers up to 73090 share no factor with it.
- 4
The digits of 73090 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73090 = 2 \times 5 \times 7309 \]
73090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 131580 |
| Euler totient φ(n) | 29232 |
| Square | 5342148100 |
| Cube | 390457604629000 |
| Square root | 270.351623 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.309 × |
73090 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and ninety |
| Binary (base 2) | 10001110110000010 |
| Octal (base 8) | 216602 |
| Hexadecimal (base 16) | 11D82 |
| Base 3 | 10201021001 |
| As time | 73090 seconds = 20 h 18 min 10 s |
Is 73090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73090 ÷ 2 = 36545) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73090 ÷ 5 = 14618) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | 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 | Yes (73090 ÷ 10 = 7309) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73090 a prime number?
No. 73090 = 2 × 5 × 7309, so it is divisible by 2.
What are the factors of 73090?
1, 2, 5, 10, 7309, 14618, 36545, 73090.
What is 73090 in binary?
10001110110000010 (hexadecimal 11D82, octal 216602).
What is the square root of 73090?
About 270.3516.
Is 73090 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73090?
73090 is a happy number: repeatedly adding the squares of its digits reaches 1.