The number 71396
71396 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1373. Divisors (12): 1, 2, 4, 13, 26, 52, 1373, 2746, 5492, 17849, 35698, 71396.
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How to work it out
- 1
What is special about 71396: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 26.
- 2
71396 is composite. Its prime factorisation is
- 3
The divisors add up to 134652; without 71396 itself that is 63256, so 71396 is deficient (63256 is less than 71396). Euler's totient φ(71396) = 32928 numbers up to 71396 share no factor with it.
- 4
The digits of 71396 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71396 = 2^{2} \times 13 \times 1373 \]71396 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 134652 |
| Euler totient φ(n) | 32928 |
| Square | 5097388816 |
| Cube | 363933171907136 |
| Square root | 267.200299 (= 2√17849) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.1396 × |
71396 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and ninety-six |
| Binary (base 2) | 10001011011100100 |
| Octal (base 8) | 213344 |
| Hexadecimal (base 16) | 116E4 |
| Base 3 | 10121221022 |
| As time | 71396 seconds = 19 h 49 min 56 s |
Is 71396 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71396 ÷ 2 = 35698) | 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 (71396 ÷ 4 = 17849) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 71396 a prime number?
No. 71396 = × 13 × 1373, so it is divisible by 2.
What are the factors of 71396?
1, 2, 4, 13, 26, 52, 1373, 2746, 5492, 17849, 35698, 71396.
What is 71396 in binary?
10001011011100100 (hexadecimal 116E4, octal 213344).
What is the square root of 71396?
About 267.2003, exactly 2√17849.
Is 71396 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 71396?
71396 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 26.