The number 30001
30001 is a composite number with 4 divisors. Its prime factorisation is 19 × 1579. Divisors (4): 1, 19, 1579, 30001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30001: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 19 × 1579, the product of two primes.
- 2
30001 is composite. Its prime factorisation is
- 3
The divisors add up to 31600; without 30001 itself that is 1599, so 30001 is deficient (1599 is less than 30001). Euler's totient φ(30001) = 28404 numbers up to 30001 share no factor with it.
- 4
The digits of 30001 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30001 = 19 \times 1579 \]
30001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 31600 |
| Euler totient φ(n) | 28404 |
| Square | 900060001 |
| Cube | 27002700090001 |
| Square root | 173.207967 |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 165 |
| Scientific notation | 3.0001 × |
30001 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and one |
| Binary (base 2) | 111010100110001 |
| Octal (base 8) | 72461 |
| Hexadecimal (base 16) | 7531 |
| Base 3 | 1112011011 |
| As time | 30001 seconds = 8 h 20 min 1 s |
Is 30001 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 | No (remainder 6) | 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 4) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30001 a prime number?
No. 30001 = 19 × 1579, so it is divisible by 19.
What are the factors of 30001?
1, 19, 1579, 30001.
What is 30001 in binary?
111010100110001 (hexadecimal 7531, octal 72461).
What is the square root of 30001?
About 173.2080.
Is 30001 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 30001?
30001 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 19 × 1579, the product of two primes.