The number 30002
30002 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 2143. Divisors (8): 1, 2, 7, 14, 2143, 4286, 15001, 30002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30002: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
30002 is composite. Its prime factorisation is
- 3
The divisors add up to 51456; without 30002 itself that is 21454, so 30002 is deficient (21454 is less than 30002). Euler's totient φ(30002) = 12852 numbers up to 30002 share no factor with it.
- 4
The digits of 30002 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30002 = 2 \times 7 \times 2143 \]
30002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51456 |
| Euler totient φ(n) | 12852 |
| Square | 900120004 |
| Cube | 27005400360008 |
| Square root | 173.210854 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 165 |
| Scientific notation | 3.0002 × |
30002 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and two |
| Binary (base 2) | 111010100110010 |
| Octal (base 8) | 72462 |
| Hexadecimal (base 16) | 7532 |
| Base 3 | 1112011012 |
| As time | 30002 seconds = 8 h 20 min 2 s |
Is 30002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30002 ÷ 2 = 15001) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 (30002 ÷ 7 = 4286) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30002 a prime number?
No. 30002 = 2 × 7 × 2143, so it is divisible by 2.
What are the factors of 30002?
1, 2, 7, 14, 2143, 4286, 15001, 30002.
What is 30002 in binary?
111010100110010 (hexadecimal 7532, octal 72462).
What is the square root of 30002?
About 173.2109.
Is 30002 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 30002?
30002 is a happy number: repeatedly adding the squares of its digits reaches 1.