The number 87998
87998 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 1913. Divisors (8): 1, 2, 23, 46, 1913, 3826, 43999, 87998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87998 is composite. Its prime factorisation is
- 3
The divisors add up to 137808; without 87998 itself that is 49810, so 87998 is deficient (49810 is less than 87998). Euler's totient φ(87998) = 42064 numbers up to 87998 share no factor with it.
- 4
The digits of 87998 add up to 41, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87998 = 2 \times 23 \times 1913 \]
87998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 137808 |
| Euler totient φ(n) | 42064 |
| Square | 7743648004 |
| Cube | 681425537055992 |
| Square root | 296.644568 |
| Digit sum / digital root | 41 / 5 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7998 × |
87998 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand nine hundred and ninety-eight |
| Binary (base 2) | 10101011110111110 |
| Octal (base 8) | 253676 |
| Hexadecimal (base 16) | 157BE |
| Base 3 | 11110201012 |
| As time | 87998 seconds = 24 h 26 min 38 s |
Is 87998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87998 ÷ 2 = 43999) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87998 a prime number?
No. 87998 = 2 × 23 × 1913, so it is divisible by 2.
What are the factors of 87998?
1, 2, 23, 46, 1913, 3826, 43999, 87998.
What is 87998 in binary?
10101011110111110 (hexadecimal 157BE, octal 253676).
What is the square root of 87998?
About 296.6446.
Is 87998 divisible by 3?
No. Its digits add up to 41, which is not a multiple of 3.
What is special about the number 87998?
It is a composite number with 8 divisors.