The number 70002
70002 is a composite number with 12 divisors. Its prime factorisation is 2 × × 3889. Divisors (12): 1, 2, 3, 6, 9, 18, 3889, 7778, 11667, 23334, 35001, 70002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 70002: a Harshad number: divisible by its digit sum 9.
- 2
70002 is composite. Its prime factorisation is
- 3
The divisors add up to 151710; without 70002 itself that is 81708, so 70002 is abundant (81708 is more than 70002). Euler's totient φ(70002) = 23328 numbers up to 70002 share no factor with it.
- 4
The digits of 70002 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 70002 = 2 \times 3^{2} \times 3889 \]70002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 151710 |
| Euler totient φ(n) | 23328 |
| Square | 4900280004 |
| Cube | 343029400840008 |
| Square root | 264.578911 (= 3√7778) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.0002 × |
70002 in other forms
| Form | Value |
|---|---|
| In words | seventy thousand and two |
| Binary (base 2) | 10001000101110010 |
| Octal (base 8) | 210562 |
| Hexadecimal (base 16) | 11172 |
| Base 3 | 10120000200 |
| As time | 70002 seconds = 19 h 26 min 42 s |
Is 70002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (70002 ÷ 2 = 35001) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (70002 ÷ 3 = 23334) | 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 (70002 ÷ 6 = 11667) | 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 (70002 ÷ 9 = 7778) | 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 9) | 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 70002 a prime number?
No. 70002 = 2 × × 3889, so it is divisible by 2.
What are the factors of 70002?
1, 2, 3, 6, 9, 18, 3889, 7778, 11667, 23334, 35001, 70002.
What is 70002 in binary?
10001000101110010 (hexadecimal 11172, octal 210562).
What is the square root of 70002?
About 264.5789, exactly 3√7778.
Is 70002 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 70002?
70002 is a Harshad number: divisible by its digit sum 9.