The number 19002
19002 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 3167. Divisors (8): 1, 2, 3, 6, 3167, 6334, 9501, 19002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 19002: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
19002 is composite. Its prime factorisation is
- 3
The divisors add up to 38016; without 19002 itself that is 19014, so 19002 is abundant (19014 is more than 19002). Euler's totient φ(19002) = 6332 numbers up to 19002 share no factor with it.
- 4
The digits of 19002 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 167 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19002 = 2 \times 3 \times 3167 \]
19002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 38016 |
| Euler totient φ(n) | 6332 |
| Square | 361076004 |
| Cube | 6861166228008 |
| Square root | 137.847742 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 167 |
| Scientific notation | 1.9002 × |
19002 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand and two |
| Binary (base 2) | 100101000111010 |
| Octal (base 8) | 45072 |
| Hexadecimal (base 16) | 4A3A |
| Base 3 | 222001210 |
| As time | 19002 seconds = 5 h 16 min 42 s |
Is 19002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19002 ÷ 2 = 9501) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (19002 ÷ 3 = 6334) | 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 | Yes (19002 ÷ 6 = 3167) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19002 a prime number?
No. 19002 = 2 × 3 × 3167, so it is divisible by 2.
What are the factors of 19002?
1, 2, 3, 6, 3167, 6334, 9501, 19002.
What is 19002 in binary?
100101000111010 (hexadecimal 4A3A, octal 45072).
What is the square root of 19002?
About 137.8477.
Is 19002 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 19002?
19002 is a happy number: repeatedly adding the squares of its digits reaches 1.