The number 77997
77997 is a composite number with 4 divisors. Its prime factorisation is 3 × 25999. Divisors (4): 1, 3, 25999, 77997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77997: a semiprime: 3 × 25999, the product of two primes.
- 2
77997 is composite. Its prime factorisation is
- 3
The divisors add up to 104000; without 77997 itself that is 26003, so 77997 is deficient (26003 is less than 77997). Euler's totient φ(77997) = 51996 numbers up to 77997 share no factor with it.
- 4
The digits of 77997 add up to 39, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77997 = 3 \times 25999 \]
77997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 104000 |
| Euler totient φ(n) | 51996 |
| Square | 6083532009 |
| Cube | 474497246105973 |
| Square root | 279.279430 |
| Digit sum / digital root | 39 / 3 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7997 × |
77997 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and ninety-seven |
| Binary (base 2) | 10011000010101101 |
| Octal (base 8) | 230255 |
| Hexadecimal (base 16) | 130AD |
| Base 3 | 10221222210 |
| As time | 77997 seconds = 21 h 39 min 57 s |
Is 77997 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 (77997 ÷ 3 = 25999) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 | No (remainder 7) | 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 77997 a prime number?
No. 77997 = 3 × 25999, so it is divisible by 3.
What are the factors of 77997?
1, 3, 25999, 77997.
What is 77997 in binary?
10011000010101101 (hexadecimal 130AD, octal 230255).
What is the square root of 77997?
About 279.2794.
Is 77997 divisible by 3?
Yes. Its digits add up to 39, a multiple of 3.
What is special about the number 77997?
77997 is a semiprime: 3 × 25999, the product of two primes.