The number 77959
77959 is a composite number with 12 divisors. Its prime factorisation is × 37 × 43. Divisors (12): 1, 7, 37, 43, 49, 259, 301, 1591, 1813, 2107, 11137, 77959.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77959: a Harshad number: divisible by its digit sum 37.
- 2
77959 is composite. Its prime factorisation is
- 3
The divisors add up to 95304; without 77959 itself that is 17345, so 77959 is deficient (17345 is less than 77959). Euler's totient φ(77959) = 63504 numbers up to 77959 share no factor with it.
- 4
The digits of 77959 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77959 = 7^{2} \times 37 \times 43 \]77959 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 95304 |
| Euler totient φ(n) | 63504 |
| Square | 6077605681 |
| Cube | 473804061285079 |
| Square root | 279.211389 (= 7√1591) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.7959 × |
77959 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and fifty-nine |
| Binary (base 2) | 10011000010000111 |
| Octal (base 8) | 230207 |
| Hexadecimal (base 16) | 13087 |
| Base 3 | 10221221101 |
| As time | 77959 seconds = 21 h 39 min 19 s |
Is 77959 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77959 ÷ 7 = 11137) | 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 7) | 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 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77959 a prime number?
No. 77959 = × 37 × 43, so it is divisible by 7.
What are the factors of 77959?
1, 7, 37, 43, 49, 259, 301, 1591, 1813, 2107, 11137, 77959.
What is 77959 in binary?
10011000010000111 (hexadecimal 13087, octal 230207).
What is the square root of 77959?
About 279.2114, exactly 7√1591.
Is 77959 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 77959?
77959 is a Harshad number: divisible by its digit sum 37.