The number 71355
71355 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 67 × 71. Divisors (16): 1, 3, 5, 15, 67, 71, 201, 213, 335, 355, 1005, 1065, 4757, 14271, 23785, 71355.
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How to work it out
- 1
What is special about 71355: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71355 is composite. Its prime factorisation is
- 3
The divisors add up to 117504; without 71355 itself that is 46149, so 71355 is deficient (46149 is less than 71355). Euler's totient φ(71355) = 36960 numbers up to 71355 share no factor with it.
- 4
The digits of 71355 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 218 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71355 = 3 \times 5 \times 67 \times 71 \]
71355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 117504 |
| Euler totient φ(n) | 36960 |
| Square | 5091536025 |
| Cube | 363306553063875 |
| Square root | 267.123567 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 218 |
| Scientific notation | 7.1355 × |
71355 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and fifty-five |
| Binary (base 2) | 10001011010111011 |
| Octal (base 8) | 213273 |
| Hexadecimal (base 16) | 116BB |
| Base 3 | 10121212210 |
| As time | 71355 seconds = 19 h 49 min 15 s |
Is 71355 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71355 ÷ 3 = 23785) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (71355 ÷ 5 = 14271) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71355 a prime number?
No. 71355 = 3 × 5 × 67 × 71, so it is divisible by 3.
What are the factors of 71355?
1, 3, 5, 15, 67, 71, 201, 213, 335, 355, 1005, 1065, 4757, 14271, 23785, 71355.
What is 71355 in binary?
10001011010111011 (hexadecimal 116BB, octal 213273).
What is the square root of 71355?
About 267.1236.
Is 71355 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 71355?
71355 is a happy number: repeatedly adding the squares of its digits reaches 1.