The number 71004
71004 is a composite number with 24 divisors. Its prime factorisation is × 3 × 61 × 97. Divisors (24): 1, 2, 3, 4, 6, 12, 61, 97, 122, 183, 194, 244, 291, 366, 388, 582 … 71004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71004: a Harshad number: divisible by its digit sum 12.
- 2
71004 is composite. Its prime factorisation is
- 3
The divisors add up to 170128; without 71004 itself that is 99124, so 71004 is abundant (99124 is more than 71004). Euler's totient φ(71004) = 23040 numbers up to 71004 share no factor with it.
- 4
The digits of 71004 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71004 = 2^{2} \times 3 \times 61 \times 97 \]71004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 170128 |
| Euler totient φ(n) | 23040 |
| Square | 5041568016 |
| Cube | 357971495408064 |
| Square root | 266.465758 (= 2√17751) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.1004 × |
71004 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and four |
| Binary (base 2) | 10001010101011100 |
| Octal (base 8) | 212534 |
| Hexadecimal (base 16) | 1155C |
| Base 3 | 10121101210 |
| As time | 71004 seconds = 19 h 43 min 24 s |
Is 71004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71004 ÷ 2 = 35502) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71004 ÷ 3 = 23668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71004 ÷ 4 = 17751) | 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 | Yes (71004 ÷ 6 = 11834) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71004 ÷ 12 = 5917) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71004 a prime number?
No. 71004 = × 3 × 61 × 97, so it is divisible by 2.
What are the factors of 71004?
1, 2, 3, 4, 6, 12, 61, 97, 122, 183, 194, 244, 291, 366, 388, 582, 732, 1164, 5917, 11834, 17751, 23668, 35502, 71004.
What is 71004 in binary?
10001010101011100 (hexadecimal 1155C, octal 212534).
What is the square root of 71004?
About 266.4658, exactly 2√17751.
Is 71004 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 71004?
71004 is a Harshad number: divisible by its digit sum 12.