The number 70084
70084 is a composite number with 12 divisors. Its prime factorisation is × 7 × 2503. Divisors (12): 1, 2, 4, 7, 14, 28, 2503, 5006, 10012, 17521, 35042, 70084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 70084: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
70084 is composite. Its prime factorisation is
- 3
The divisors add up to 140224; without 70084 itself that is 70140, so 70084 is abundant (70140 is more than 70084). Euler's totient φ(70084) = 30024 numbers up to 70084 share no factor with it.
- 4
The digits of 70084 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 70084 = 2^{2} \times 7 \times 2503 \]70084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 140224 |
| Euler totient φ(n) | 30024 |
| Square | 4911767056 |
| Cube | 344236282352704 |
| Square root | 264.733829 (= 2√17521) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.0084 × |
70084 in other forms
| Form | Value |
|---|---|
| In words | seventy thousand and eighty-four |
| Binary (base 2) | 10001000111000100 |
| Octal (base 8) | 210704 |
| Hexadecimal (base 16) | 111C4 |
| Base 3 | 10120010201 |
| As time | 70084 seconds = 19 h 28 min 4 s |
Is 70084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (70084 ÷ 2 = 35042) | 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 | Yes (70084 ÷ 4 = 17521) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (70084 ÷ 7 = 10012) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 70084 a prime number?
No. 70084 = × 7 × 2503, so it is divisible by 2.
What are the factors of 70084?
1, 2, 4, 7, 14, 28, 2503, 5006, 10012, 17521, 35042, 70084.
What is 70084 in binary?
10001000111000100 (hexadecimal 111C4, octal 210704).
What is the square root of 70084?
About 264.7338, exactly 2√17521.
Is 70084 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 70084?
70084 is a happy number: repeatedly adding the squares of its digits reaches 1.