The number 7002
7002 is a composite number with 12 divisors. Its prime factorisation is 2 × × 389. Divisors (12): 1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7002: a Harshad number: divisible by its digit sum 9.
- 2
7002 is composite. Its prime factorisation is
- 3
The divisors add up to 15210; without 7002 itself that is 8208, so 7002 is abundant (8208 is more than 7002). Euler's totient φ(7002) = 2328 numbers up to 7002 share no factor with it.
- 4
The digits of 7002 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7002 = 2 \times 3^{2} \times 389 \]7002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 15210 |
| Euler totient φ(n) | 2328 |
| Square | 49028004 |
| Cube | 343294084008 |
| Square root | 83.677954 (= 3√778) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 31 |
| Scientific notation | 7.002 × |
7002 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and two |
| Binary (base 2) | 1101101011010 |
| Octal (base 8) | 15532 |
| Hexadecimal (base 16) | 1B5A |
| Base 3 | 100121100 |
| As time | 7002 seconds = 1 h 56 min 42 s |
Is 7002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7002 ÷ 2 = 3501) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7002 ÷ 3 = 2334) | 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 (7002 ÷ 6 = 1167) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (7002 ÷ 9 = 778) | 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 6) | 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 7002 a prime number?
No. 7002 = 2 × × 389, so it is divisible by 2.
What are the factors of 7002?
1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002.
What is 7002 in binary?
1101101011010 (hexadecimal 1B5A, octal 15532).
What is the square root of 7002?
About 83.6780, exactly 3√778.
Is 7002 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 7002?
7002 is a Harshad number: divisible by its digit sum 9.