The number 71226
71226 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1319. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1319, 2638, 3957, 7914, 11871, 23742, 35613, 71226.
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How to work it out
- 1
What is special about 71226: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
71226 is composite. Its prime factorisation is
- 3
The divisors add up to 158400; without 71226 itself that is 87174, so 71226 is abundant (87174 is more than 71226). Euler's totient φ(71226) = 23724 numbers up to 71226 share no factor with it.
- 4
The digits of 71226 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71226 = 2 \times 3^{3} \times 1319 \]71226 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 158400 |
| Euler totient φ(n) | 23724 |
| Square | 5073143076 |
| Cube | 361339688731176 |
| Square root | 266.881996 (= 3√7914) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.1226 × |
71226 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand two hundred and twenty-six |
| Binary (base 2) | 10001011000111010 |
| Octal (base 8) | 213072 |
| Hexadecimal (base 16) | 1163A |
| Base 3 | 10121201000 |
| As time | 71226 seconds = 19 h 47 min 6 s |
Is 71226 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71226 ÷ 2 = 35613) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71226 ÷ 3 = 23742) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (71226 ÷ 6 = 11871) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (71226 ÷ 9 = 7914) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71226 a prime number?
No. 71226 = 2 × × 1319, so it is divisible by 2.
What are the factors of 71226?
1, 2, 3, 6, 9, 18, 27, 54, 1319, 2638, 3957, 7914, 11871, 23742, 35613, 71226.
What is 71226 in binary?
10001011000111010 (hexadecimal 1163A, octal 213072).
What is the square root of 71226?
About 266.8820, exactly 3√7914.
Is 71226 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 71226?
71226 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.