The number 71404
71404 is a composite number with 6 divisors. Its prime factorisation is × 17851. Divisors (6): 1, 2, 4, 17851, 35702, 71404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71404: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71404 is composite. Its prime factorisation is
- 3
The divisors add up to 124964; without 71404 itself that is 53560, so 71404 is deficient (53560 is less than 71404). Euler's totient φ(71404) = 35700 numbers up to 71404 share no factor with it.
- 4
The digits of 71404 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71404 = 2^{2} \times 17851 \]71404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 124964 |
| Euler totient φ(n) | 35700 |
| Square | 5098531216 |
| Cube | 364055522947264 |
| Square root | 267.215269 (= 2√17851) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 73 |
| Scientific notation | 7.1404 × |
71404 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and four |
| Binary (base 2) | 10001011011101100 |
| Octal (base 8) | 213354 |
| Hexadecimal (base 16) | 116EC |
| Base 3 | 10121221121 |
| As time | 71404 seconds = 19 h 50 min 4 s |
Is 71404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71404 ÷ 2 = 35702) | 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 (71404 ÷ 4 = 17851) | 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 | 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 7) | 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 71404 a prime number?
No. 71404 = × 17851, so it is divisible by 2.
What are the factors of 71404?
1, 2, 4, 17851, 35702, 71404.
What is 71404 in binary?
10001011011101100 (hexadecimal 116EC, octal 213354).
What is the square root of 71404?
About 267.2153, exactly 2√17851.
Is 71404 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 71404?
71404 is a happy number: repeatedly adding the squares of its digits reaches 1.