The number 7616
7616 is a composite number with 28 divisors. Its prime factorisation is × 7 × 17. Divisors (28): 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119 … 7616.
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How to work it out
- 1
7616 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7616 is composite. Its prime factorisation is
- 3
The divisors add up to 18288; without 7616 itself that is 10672, so 7616 is abundant (10672 is more than 7616). Euler's totient φ(7616) = 3072 numbers up to 7616 share no factor with it.
- 4
The digits of 7616 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7616 = 2^{6} \times 7 \times 17 \]7616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 18288 |
| Euler totient φ(n) | 3072 |
| Square | 58003456 |
| Cube | 441754320896 |
| Square root | 87.269697 (= 8√119) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 39 |
| Scientific notation | 7.616 × |
7616 in other forms
| Form | Value |
|---|---|
| In words | seven thousand six hundred and sixteen |
| Binary (base 2) | 1110111000000 |
| Octal (base 8) | 16700 |
| Hexadecimal (base 16) | 1DC0 |
| Base 3 | 101110002 |
| As time | 7616 seconds = 2 h 6 min 56 s |
Is 7616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7616 ÷ 2 = 3808) | 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 (7616 ÷ 4 = 1904) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (7616 ÷ 7 = 1088) | 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 (7616 ÷ 8 = 952) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | 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 7616 a prime number?
No. 7616 = × 7 × 17, so it is divisible by 2.
What are the factors of 7616?
1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 136, 224, 238, 272, 448, 476, 544, 952, 1088, 1904, 3808, 7616.
What is 7616 in binary?
1110111000000 (hexadecimal 1DC0, octal 16700).
What is the square root of 7616?
About 87.2697, exactly 8√119.
Is 7616 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 7616?
It is a composite number with 28 divisors.