The number 73097
73097 is a composite number with 4 divisors. Its prime factorisation is 67 × 1091. Divisors (4): 1, 67, 1091, 73097.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73097: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 67 × 1091, the product of two primes.
- 2
73097 is composite. Its prime factorisation is
- 3
The divisors add up to 74256; without 73097 itself that is 1159, so 73097 is deficient (1159 is less than 73097). Euler's totient φ(73097) = 71940 numbers up to 73097 share no factor with it.
- 4
The digits of 73097 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73097 = 67 \times 1091 \]
73097 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 74256 |
| Euler totient φ(n) | 71940 |
| Square | 5343171409 |
| Cube | 390569800483673 |
| Square root | 270.364569 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3097 × |
73097 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and ninety-seven |
| Binary (base 2) | 10001110110001001 |
| Octal (base 8) | 216611 |
| Hexadecimal (base 16) | 11D89 |
| Base 3 | 10201021022 |
| As time | 73097 seconds = 20 h 18 min 17 s |
Is 73097 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 2) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73097 a prime number?
No. 73097 = 67 × 1091, so it is divisible by 67.
What are the factors of 73097?
1, 67, 1091, 73097.
What is 73097 in binary?
10001110110001001 (hexadecimal 11D89, octal 216611).
What is the square root of 73097?
About 270.3646.
Is 73097 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 73097?
73097 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 67 × 1091, the product of two primes.