The number 75089
75089 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 631. Divisors (8): 1, 7, 17, 119, 631, 4417, 10727, 75089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75089: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
75089 is composite. Its prime factorisation is
- 3
The divisors add up to 91008; without 75089 itself that is 15919, so 75089 is deficient (15919 is less than 75089). Euler's totient φ(75089) = 60480 numbers up to 75089 share no factor with it.
- 4
The digits of 75089 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75089 = 7 \times 17 \times 631 \]
75089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 91008 |
| Euler totient φ(n) | 60480 |
| Square | 5638357921 |
| Cube | 423378657929969 |
| Square root | 274.023722 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 86 |
| Scientific notation | 7.5089 × |
75089 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand and eighty-nine |
| Binary (base 2) | 10010010101010001 |
| Octal (base 8) | 222521 |
| Hexadecimal (base 16) | 12551 |
| Base 3 | 10211000002 |
| As time | 75089 seconds = 20 h 51 min 29 s |
Is 75089 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 4) | 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 | Yes (75089 ÷ 7 = 10727) | 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 2) | 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 3) | 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 75089 a prime number?
No. 75089 = 7 × 17 × 631, so it is divisible by 7.
What are the factors of 75089?
1, 7, 17, 119, 631, 4417, 10727, 75089.
What is 75089 in binary?
10010010101010001 (hexadecimal 12551, octal 222521).
What is the square root of 75089?
About 274.0237.
Is 75089 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 75089?
75089 is a happy number: repeatedly adding the squares of its digits reaches 1.