The number 17002
17002 is a composite number with 4 divisors. Its prime factorisation is 2 × 8501. Divisors (4): 1, 2, 8501, 17002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17002: a semiprime: 2 × 8501, the product of two primes.
- 2
17002 is composite. Its prime factorisation is
- 3
The divisors add up to 25506; without 17002 itself that is 8504, so 17002 is deficient (8504 is less than 17002). Euler's totient φ(17002) = 8500 numbers up to 17002 share no factor with it.
- 4
The digits of 17002 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17002 = 2 \times 8501 \]
17002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 25506 |
| Euler totient φ(n) | 8500 |
| Square | 289068004 |
| Cube | 4914734204008 |
| Square root | 130.391718 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.7002 × |
17002 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and two |
| Binary (base 2) | 100001001101010 |
| Octal (base 8) | 41152 |
| Hexadecimal (base 16) | 426A |
| Base 3 | 212022201 |
| As time | 17002 seconds = 4 h 43 min 22 s |
Is 17002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17002 ÷ 2 = 8501) | 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 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 4) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17002 a prime number?
No. 17002 = 2 × 8501, so it is divisible by 2.
What are the factors of 17002?
1, 2, 8501, 17002.
What is 17002 in binary?
100001001101010 (hexadecimal 426A, octal 41152).
What is the square root of 17002?
About 130.3917.
Is 17002 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 17002?
17002 is a semiprime: 2 × 8501, the product of two primes.