The number 85988
85988 is a composite number with 24 divisors. Its prime factorisation is × 7 × 37 × 83. Divisors (24): 1, 2, 4, 7, 14, 28, 37, 74, 83, 148, 166, 259, 332, 518, 581, 1036 … 85988.
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How to work it out
- 1
85988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
85988 is composite. Its prime factorisation is
- 3
The divisors add up to 178752; without 85988 itself that is 92764, so 85988 is abundant (92764 is more than 85988). Euler's totient φ(85988) = 35424 numbers up to 85988 share no factor with it.
- 4
The digits of 85988 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 85988 = 2^{2} \times 7 \times 37 \times 83 \]85988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 178752 |
| Euler totient φ(n) | 35424 |
| Square | 7393936144 |
| Cube | 635789781150272 |
| Square root | 293.237105 (= 2√21497) |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.5988 × |
85988 in other forms
| Form | Value |
|---|---|
| In words | eighty-five thousand nine hundred and eighty-eight |
| Binary (base 2) | 10100111111100100 |
| Octal (base 8) | 247744 |
| Hexadecimal (base 16) | 14FE4 |
| Base 3 | 11100221202 |
| As time | 85988 seconds = 23 h 53 min 8 s |
Is 85988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (85988 ÷ 2 = 42994) | 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 | Yes (85988 ÷ 4 = 21497) | 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 | Yes (85988 ÷ 7 = 12284) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 85988 a prime number?
No. 85988 = × 7 × 37 × 83, so it is divisible by 2.
What are the factors of 85988?
1, 2, 4, 7, 14, 28, 37, 74, 83, 148, 166, 259, 332, 518, 581, 1036, 1162, 2324, 3071, 6142, 12284, 21497, 42994, 85988.
What is 85988 in binary?
10100111111100100 (hexadecimal 14FE4, octal 247744).
What is the square root of 85988?
About 293.2371, exactly 2√21497.
Is 85988 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 85988?
It is a composite number with 24 divisors.