The number 71616
71616 is a composite number with 28 divisors. Its prime factorisation is × 3 × 373. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 373, 746 … 71616.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71616 is composite. Its prime factorisation is
- 3
The divisors add up to 189992; without 71616 itself that is 118376, so 71616 is abundant (118376 is more than 71616). Euler's totient φ(71616) = 23808 numbers up to 71616 share no factor with it.
- 4
The digits of 71616 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71616 = 2^{6} \times 3 \times 373 \]71616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 189992 |
| Euler totient φ(n) | 23808 |
| Square | 5128851456 |
| Cube | 367307825872896 |
| Square root | 267.611659 (= 8√1119) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.1616 × |
71616 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand six hundred and sixteen |
| Binary (base 2) | 10001011111000000 |
| Octal (base 8) | 213700 |
| Hexadecimal (base 16) | 117C0 |
| Base 3 | 10122020110 |
| As time | 71616 seconds = 19 h 53 min 36 s |
Is 71616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71616 ÷ 2 = 35808) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71616 ÷ 3 = 23872) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71616 ÷ 4 = 17904) | 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 (71616 ÷ 6 = 11936) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (71616 ÷ 8 = 8952) | 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 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 | Yes (71616 ÷ 12 = 5968) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71616 a prime number?
No. 71616 = × 3 × 373, so it is divisible by 2.
What are the factors of 71616?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 373, 746, 1119, 1492, 2238, 2984, 4476, 5968, 8952, 11936, 17904, 23872, 35808, 71616.
What is 71616 in binary?
10001011111000000 (hexadecimal 117C0, octal 213700).
What is the square root of 71616?
About 267.6117, exactly 8√1119.
Is 71616 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 71616?
It is a composite number with 28 divisors.