The number 71600
71600 is a composite number with 30 divisors. Its prime factorisation is × × 179. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 179, 200, 358 … 71600.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71600: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71600 is composite. Its prime factorisation is
- 3
The divisors add up to 172980; without 71600 itself that is 101380, so 71600 is abundant (101380 is more than 71600). Euler's totient φ(71600) = 28480 numbers up to 71600 share no factor with it.
- 4
The digits of 71600 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71600 = 2^{4} \times 5^{2} \times 179 \]71600 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 172980 |
| Euler totient φ(n) | 28480 |
| Square | 5126560000 |
| Cube | 367061696000000 |
| Square root | 267.581763 (= 20√179) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.16 × |
71600 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand six hundred |
| Binary (base 2) | 10001011110110000 |
| Octal (base 8) | 213660 |
| Hexadecimal (base 16) | 117B0 |
| Base 3 | 10122012212 |
| As time | 71600 seconds = 19 h 53 min 20 s |
Is 71600 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71600 ÷ 2 = 35800) | 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 (71600 ÷ 4 = 17900) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (71600 ÷ 5 = 14320) | 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 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 | Yes (71600 ÷ 8 = 8950) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (71600 ÷ 10 = 7160) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71600 a prime number?
No. 71600 = × × 179, so it is divisible by 2.
What are the factors of 71600?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 179, 200, 358, 400, 716, 895, 1432, 1790, 2864, 3580, 4475, 7160, 8950, 14320, 17900, 35800, 71600.
What is 71600 in binary?
10001011110110000 (hexadecimal 117B0, octal 213660).
What is the square root of 71600?
About 267.5818, exactly 20√179.
Is 71600 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 71600?
71600 is a happy number: repeatedly adding the squares of its digits reaches 1.