The number 71408
71408 is a composite number with 10 divisors. Its prime factorisation is × 4463. Divisors (10): 1, 2, 4, 8, 16, 4463, 8926, 17852, 35704, 71408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71408: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71408 is composite. Its prime factorisation is
- 3
The divisors add up to 138384; without 71408 itself that is 66976, so 71408 is deficient (66976 is less than 71408). Euler's totient φ(71408) = 35696 numbers up to 71408 share no factor with it.
- 4
The digits of 71408 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71408 = 2^{4} \times 4463 \]71408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 138384 |
| Euler totient φ(n) | 35696 |
| Square | 5099102464 |
| Cube | 364116708749312 |
| Square root | 267.222754 (= 4√4463) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1408 × |
71408 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and eight |
| Binary (base 2) | 10001011011110000 |
| Octal (base 8) | 213360 |
| Hexadecimal (base 16) | 116F0 |
| Base 3 | 10121221202 |
| As time | 71408 seconds = 19 h 50 min 8 s |
Is 71408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71408 ÷ 2 = 35704) | 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 (71408 ÷ 4 = 17852) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | 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 | Yes (71408 ÷ 8 = 8926) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 71408 a prime number?
No. 71408 = × 4463, so it is divisible by 2.
What are the factors of 71408?
1, 2, 4, 8, 16, 4463, 8926, 17852, 35704, 71408.
What is 71408 in binary?
10001011011110000 (hexadecimal 116F0, octal 213360).
What is the square root of 71408?
About 267.2228, exactly 4√4463.
Is 71408 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 71408?
71408 is a happy number: repeatedly adding the squares of its digits reaches 1.