The number 99001
99001 is a composite number with 4 divisors. Its prime factorisation is 7 × 14143. Divisors (4): 1, 7, 14143, 99001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 99001: a semiprime: 7 × 14143, the product of two primes.
- 2
99001 is composite. Its prime factorisation is
- 3
The divisors add up to 113152; without 99001 itself that is 14151, so 99001 is deficient (14151 is less than 99001). Euler's totient φ(99001) = 84852 numbers up to 99001 share no factor with it.
- 4
The digits of 99001 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 99001 = 7 \times 14143 \]
99001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 113152 |
| Euler totient φ(n) | 84852 |
| Square | 9801198001 |
| Cube | 970328403297001 |
| Square root | 314.644244 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.9001 × |
99001 in other forms
| Form | Value |
|---|---|
| In words | ninety-nine thousand and one |
| Binary (base 2) | 11000001010111001 |
| Octal (base 8) | 301271 |
| Hexadecimal (base 16) | 182B9 |
| Base 3 | 12000210201 |
| As time | 99001 seconds = 27 h 30 min 1 s |
Is 99001 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (99001 ÷ 7 = 14143) | 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 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 99001 a prime number?
No. 99001 = 7 × 14143, so it is divisible by 7.
What are the factors of 99001?
1, 7, 14143, 99001.
What is 99001 in binary?
11000001010111001 (hexadecimal 182B9, octal 301271).
What is the square root of 99001?
About 314.6442.
Is 99001 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 99001?
99001 is a semiprime: 7 × 14143, the product of two primes.