The number 77998
77998 is a composite number with 8 divisors. Its prime factorisation is 2 × 59 × 661. Divisors (8): 1, 2, 59, 118, 661, 1322, 38999, 77998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77998 is composite. Its prime factorisation is
- 3
The divisors add up to 119160; without 77998 itself that is 41162, so 77998 is deficient (41162 is less than 77998). Euler's totient φ(77998) = 38280 numbers up to 77998 share no factor with it.
- 4
The digits of 77998 add up to 40, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77998 = 2 \times 59 \times 661 \]
77998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 119160 |
| Euler totient φ(n) | 38280 |
| Square | 6083688004 |
| Cube | 474515496935992 |
| Square root | 279.281220 |
| Digit sum / digital root | 40 / 4 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7998 × |
77998 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and ninety-eight |
| Binary (base 2) | 10011000010101110 |
| Octal (base 8) | 230256 |
| Hexadecimal (base 16) | 130AE |
| Base 3 | 10221222211 |
| As time | 77998 seconds = 21 h 39 min 58 s |
Is 77998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77998 ÷ 2 = 38999) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77998 a prime number?
No. 77998 = 2 × 59 × 661, so it is divisible by 2.
What are the factors of 77998?
1, 2, 59, 118, 661, 1322, 38999, 77998.
What is 77998 in binary?
10011000010101110 (hexadecimal 130AE, octal 230256).
What is the square root of 77998?
About 279.2812.
Is 77998 divisible by 3?
No. Its digits add up to 40, which is not a multiple of 3.
What is special about the number 77998?
It is a composite number with 8 divisors.