The number 73117
73117 is a composite number with 12 divisors. Its prime factorisation is 11 × × 23. Divisors (12): 1, 11, 17, 23, 187, 253, 289, 391, 3179, 4301, 6647, 73117.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73117: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73117 is composite. Its prime factorisation is
- 3
The divisors add up to 88416; without 73117 itself that is 15299, so 73117 is deficient (15299 is less than 73117). Euler's totient φ(73117) = 59840 numbers up to 73117 share no factor with it.
- 4
The digits of 73117 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 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73117 = 11 \times 17^{2} \times 23 \]73117 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 88416 |
| Euler totient φ(n) | 59840 |
| Square | 5346095689 |
| Cube | 390890478492613 |
| Square root | 270.401553 (= 17√253) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 174 |
| Scientific notation | 7.3117 × |
73117 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and seventeen |
| Binary (base 2) | 10001110110011101 |
| Octal (base 8) | 216635 |
| Hexadecimal (base 16) | 11D9D |
| Base 3 | 10201022001 |
| As time | 73117 seconds = 20 h 18 min 37 s |
Is 73117 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 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 | No (remainder 2) | 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (73117 ÷ 11 = 6647) | 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 73117 a prime number?
No. 73117 = 11 × × 23, so it is divisible by 11.
What are the factors of 73117?
1, 11, 17, 23, 187, 253, 289, 391, 3179, 4301, 6647, 73117.
What is 73117 in binary?
10001110110011101 (hexadecimal 11D9D, octal 216635).
What is the square root of 73117?
About 270.4016, exactly 17√253.
Is 73117 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73117?
73117 is a happy number: repeatedly adding the squares of its digits reaches 1.