The number 67002
67002 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 859. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 859, 1718, 2577, 5154, 11167, 22334, 33501, 67002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67002 is composite. Its prime factorisation is
- 3
The divisors add up to 144480; without 67002 itself that is 77478, so 67002 is abundant (77478 is more than 67002). Euler's totient φ(67002) = 20592 numbers up to 67002 share no factor with it.
- 4
The digits of 67002 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67002 = 2 \times 3 \times 13 \times 859 \]
67002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 144480 |
| Euler totient φ(n) | 20592 |
| Square | 4489268004 |
| Cube | 300789934804008 |
| Square root | 258.847445 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7002 × |
67002 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and two |
| Binary (base 2) | 10000010110111010 |
| Octal (base 8) | 202672 |
| Hexadecimal (base 16) | 105BA |
| Base 3 | 10101220120 |
| As time | 67002 seconds = 18 h 36 min 42 s |
Is 67002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67002 ÷ 2 = 33501) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67002 ÷ 3 = 22334) | 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 (67002 ÷ 6 = 11167) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 1) | 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 67002 a prime number?
No. 67002 = 2 × 3 × 13 × 859, so it is divisible by 2.
What are the factors of 67002?
1, 2, 3, 6, 13, 26, 39, 78, 859, 1718, 2577, 5154, 11167, 22334, 33501, 67002.
What is 67002 in binary?
10000010110111010 (hexadecimal 105BA, octal 202672).
What is the square root of 67002?
About 258.8474.
Is 67002 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 67002?
It is a composite number with 16 divisors.