The number 76089
76089 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 1951. Divisors (8): 1, 3, 13, 39, 1951, 5853, 25363, 76089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76089: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76089 is composite. Its prime factorisation is
- 3
The divisors add up to 109312; without 76089 itself that is 33223, so 76089 is deficient (33223 is less than 76089). Euler's totient φ(76089) = 46800 numbers up to 76089 share no factor with it.
- 4
The digits of 76089 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76089 = 3 \times 13 \times 1951 \]
76089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 109312 |
| Euler totient φ(n) | 46800 |
| Square | 5789535921 |
| Cube | 440519998692969 |
| Square root | 275.842346 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.6089 × |
76089 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and eighty-nine |
| Binary (base 2) | 10010100100111001 |
| Octal (base 8) | 224471 |
| Hexadecimal (base 16) | 12939 |
| Base 3 | 10212101010 |
| As time | 76089 seconds = 21 h 8 min 9 s |
Is 76089 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 | Yes (76089 ÷ 3 = 25363) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76089 a prime number?
No. 76089 = 3 × 13 × 1951, so it is divisible by 3.
What are the factors of 76089?
1, 3, 13, 39, 1951, 5853, 25363, 76089.
What is 76089 in binary?
10010100100111001 (hexadecimal 12939, octal 224471).
What is the square root of 76089?
About 275.8423.
Is 76089 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 76089?
76089 is a happy number: repeatedly adding the squares of its digits reaches 1.