The number 71550
71550 is a composite number with 48 divisors. Its prime factorisation is 2 × × × 53. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 53, 54 … 71550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71550: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
71550 is composite. Its prime factorisation is
- 3
The divisors add up to 200880; without 71550 itself that is 129330, so 71550 is abundant (129330 is more than 71550). Euler's totient φ(71550) = 18720 numbers up to 71550 share no factor with it.
- 4
The digits of 71550 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71550 = 2 \times 3^{3} \times 5^{2} \times 53 \]71550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 200880 |
| Euler totient φ(n) | 18720 |
| Square | 5119402500 |
| Cube | 366293248875000 |
| Square root | 267.488318 (= 15√318) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.155 × |
71550 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand five hundred and fifty |
| Binary (base 2) | 10001011101111110 |
| Octal (base 8) | 213576 |
| Hexadecimal (base 16) | 1177E |
| Base 3 | 10122011000 |
| As time | 71550 seconds = 19 h 52 min 30 s |
Is 71550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71550 ÷ 2 = 35775) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71550 ÷ 3 = 23850) | 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 | Yes (71550 ÷ 5 = 14310) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71550 ÷ 6 = 11925) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (71550 ÷ 9 = 7950) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (71550 ÷ 10 = 7155) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71550 a prime number?
No. 71550 = 2 × × × 53, so it is divisible by 2.
What are the factors of 71550?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 53, 54, 75, 90, 106, 135, 150, 159, 225, 265, 270, 318, 450, 477, 530, 675, 795, 954, 1325, 1350, 1431, 1590, 2385, 2650, 2862, 3975, 4770, 7155, 7950, 11925, 14310, 23850, 35775, 71550.
What is 71550 in binary?
10001011101111110 (hexadecimal 1177E, octal 213576).
What is the square root of 71550?
About 267.4883, exactly 15√318.
Is 71550 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 71550?
71550 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.