The number 70004
70004 is a composite number with 24 divisors. Its prime factorisation is × 11 × 37 × 43. Divisors (24): 1, 2, 4, 11, 22, 37, 43, 44, 74, 86, 148, 172, 407, 473, 814, 946 … 70004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 70004: a Harshad number: divisible by its digit sum 11.
- 2
70004 is composite. Its prime factorisation is
- 3
The divisors add up to 140448; without 70004 itself that is 70444, so 70004 is abundant (70444 is more than 70004). Euler's totient φ(70004) = 30240 numbers up to 70004 share no factor with it.
- 4
The digits of 70004 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 70004 = 2^{2} \times 11 \times 37 \times 43 \]70004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 140448 |
| Euler totient φ(n) | 30240 |
| Square | 4900560016 |
| Cube | 343058803360064 |
| Square root | 264.582690 (= 2√17501) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.0004 × |
70004 in other forms
| Form | Value |
|---|---|
| In words | seventy thousand and four |
| Binary (base 2) | 10001000101110100 |
| Octal (base 8) | 210564 |
| Hexadecimal (base 16) | 11174 |
| Base 3 | 10120000202 |
| As time | 70004 seconds = 19 h 26 min 44 s |
Is 70004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (70004 ÷ 2 = 35002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (70004 ÷ 4 = 17501) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 | Yes (70004 ÷ 11 = 6364) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 70004 a prime number?
No. 70004 = × 11 × 37 × 43, so it is divisible by 2.
What are the factors of 70004?
1, 2, 4, 11, 22, 37, 43, 44, 74, 86, 148, 172, 407, 473, 814, 946, 1591, 1628, 1892, 3182, 6364, 17501, 35002, 70004.
What is 70004 in binary?
10001000101110100 (hexadecimal 11174, octal 210564).
What is the square root of 70004?
About 264.5827, exactly 2√17501.
Is 70004 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 70004?
70004 is a Harshad number: divisible by its digit sum 11.