The number 85488
85488 is a composite number with 40 divisors. Its prime factorisation is × 3 × 13 × 137. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104 … 85488.
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How to work it out
- 1
85488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
85488 is composite. Its prime factorisation is
- 3
The divisors add up to 239568; without 85488 itself that is 154080, so 85488 is abundant (154080 is more than 85488). Euler's totient φ(85488) = 26112 numbers up to 85488 share no factor with it.
- 4
The digits of 85488 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 85488 = 2^{4} \times 3 \times 13 \times 137 \]85488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 239568 |
| Euler totient φ(n) | 26112 |
| Square | 7308198144 |
| Cube | 624763242934272 |
| Square root | 292.383310 (= 4√5343) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 8.5488 × |
85488 in other forms
| Form | Value |
|---|---|
| In words | eighty-five thousand four hundred and eighty-eight |
| Binary (base 2) | 10100110111110000 |
| Octal (base 8) | 246760 |
| Hexadecimal (base 16) | 14DF0 |
| Base 3 | 11100021020 |
| As time | 85488 seconds = 23 h 44 min 48 s |
Is 85488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (85488 ÷ 2 = 42744) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (85488 ÷ 3 = 28496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (85488 ÷ 4 = 21372) | 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 | Yes (85488 ÷ 6 = 14248) | 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 | Yes (85488 ÷ 8 = 10686) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (85488 ÷ 12 = 7124) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 85488 a prime number?
No. 85488 = × 3 × 13 × 137, so it is divisible by 2.
What are the factors of 85488?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 137, 156, 208, 274, 312, 411, 548, 624, 822, 1096, 1644, 1781, 2192, 3288, 3562, 5343, 6576, 7124, 10686, 14248, 21372, 28496, 42744, 85488.
What is 85488 in binary?
10100110111110000 (hexadecimal 14DF0, octal 246760).
What is the square root of 85488?
About 292.3833, exactly 4√5343.
Is 85488 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 85488?
It is a composite number with 40 divisors.