The number 77139
77139 is a composite number with 8 divisors. Its prime factorisation is × 2857. Divisors (8): 1, 3, 9, 27, 2857, 8571, 25713, 77139.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77139: a Harshad number: divisible by its digit sum 27.
- 2
77139 is composite. Its prime factorisation is
- 3
The divisors add up to 114320; without 77139 itself that is 37181, so 77139 is deficient (37181 is less than 77139). Euler's totient φ(77139) = 51408 numbers up to 77139 share no factor with it.
- 4
The digits of 77139 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77139 = 3^{3} \times 2857 \]77139 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 114320 |
| Euler totient φ(n) | 51408 |
| Square | 5950425321 |
| Cube | 459009858836619 |
| Square root | 277.739086 (= 3√8571) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.7139 × |
77139 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and thirty-nine |
| Binary (base 2) | 10010110101010011 |
| Octal (base 8) | 226523 |
| Hexadecimal (base 16) | 12D53 |
| Base 3 | 10220211000 |
| As time | 77139 seconds = 21 h 25 min 39 s |
Is 77139 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 (77139 ÷ 3 = 25713) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77139 ÷ 9 = 8571) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77139 a prime number?
No. 77139 = × 2857, so it is divisible by 3.
What are the factors of 77139?
1, 3, 9, 27, 2857, 8571, 25713, 77139.
What is 77139 in binary?
10010110101010011 (hexadecimal 12D53, octal 226523).
What is the square root of 77139?
About 277.7391, exactly 3√8571.
Is 77139 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77139?
77139 is a Harshad number: divisible by its digit sum 27.