The number 7896
7896 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 47. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 47, 56, 84 … 7896.
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How to work it out
- 1
What is special about 7896: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7896 is composite. Its prime factorisation is
- 3
The divisors add up to 23040; without 7896 itself that is 15144, so 7896 is abundant (15144 is more than 7896). Euler's totient φ(7896) = 2208 numbers up to 7896 share no factor with it.
- 4
The digits of 7896 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7896 = 2^{3} \times 3 \times 7 \times 47 \]7896 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 23040 |
| Euler totient φ(n) | 2208 |
| Square | 62346816 |
| Cube | 492290459136 |
| Square root | 88.859440 (= 2√1974) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 39 |
| Scientific notation | 7.896 × |
7896 in other forms
| Form | Value |
|---|---|
| In words | seven thousand eight hundred and ninety-six |
| Binary (base 2) | 1111011011000 |
| Octal (base 8) | 17330 |
| Hexadecimal (base 16) | 1ED8 |
| Base 3 | 101211110 |
| As time | 7896 seconds = 2 h 11 min 36 s |
Is 7896 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7896 ÷ 2 = 3948) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7896 ÷ 3 = 2632) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7896 ÷ 4 = 1974) | 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 (7896 ÷ 6 = 1316) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (7896 ÷ 7 = 1128) | 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 (7896 ÷ 8 = 987) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (7896 ÷ 12 = 658) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7896 a prime number?
No. 7896 = × 3 × 7 × 47, so it is divisible by 2.
What are the factors of 7896?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 47, 56, 84, 94, 141, 168, 188, 282, 329, 376, 564, 658, 987, 1128, 1316, 1974, 2632, 3948, 7896.
What is 7896 in binary?
1111011011000 (hexadecimal 1ED8, octal 17330).
What is the square root of 7896?
About 88.8594, exactly 2√1974.
Is 7896 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 7896?
7896 is a happy number: repeatedly adding the squares of its digits reaches 1.