The number 85001
85001 is a composite number with 4 divisors. Its prime factorisation is 7 × 12143. Divisors (4): 1, 7, 12143, 85001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 85001: a semiprime: 7 × 12143, the product of two primes.
- 2
85001 is composite. Its prime factorisation is
- 3
The divisors add up to 97152; without 85001 itself that is 12151, so 85001 is deficient (12151 is less than 85001). Euler's totient φ(85001) = 72852 numbers up to 85001 share no factor with it.
- 4
The digits of 85001 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 226 steps to reach 1.
LaTeX source of the formulas on this page
\[ 85001 = 7 \times 12143 \]
85001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 97152 |
| Euler totient φ(n) | 72852 |
| Square | 7225170001 |
| Cube | 614146675255001 |
| Square root | 291.549310 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 226 |
| Scientific notation | 8.5001 × |
85001 in other forms
| Form | Value |
|---|---|
| In words | eighty-five thousand and one |
| Binary (base 2) | 10100110000001001 |
| Octal (base 8) | 246011 |
| Hexadecimal (base 16) | 14C09 |
| Base 3 | 11022121012 |
| As time | 85001 seconds = 23 h 36 min 41 s |
Is 85001 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 | No (remainder 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (85001 ÷ 7 = 12143) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 85001 a prime number?
No. 85001 = 7 × 12143, so it is divisible by 7.
What are the factors of 85001?
1, 7, 12143, 85001.
What is 85001 in binary?
10100110000001001 (hexadecimal 14C09, octal 246011).
What is the square root of 85001?
About 291.5493.
Is 85001 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 85001?
85001 is a semiprime: 7 × 12143, the product of two primes.