The number 896
896 is a composite number with 16 divisors. Its prime factorisation is × 7. Divisors (16): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
896 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
896 is composite. Its prime factorisation is
- 3
The divisors add up to 2040; without 896 itself that is 1144, so 896 is abundant (1144 is more than 896). Euler's totient φ(896) = 384 numbers up to 896 share no factor with it.
- 4
The digits of 896 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 896 = 2^{7} \times 7 \]896 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 2040 |
| Euler totient φ(n) | 384 |
| Square | 802816 |
| Cube | 719323136 |
| Square root | 29.933259 (= 8√14) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 23 |
| Scientific notation | 8.96 × |
896 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and ninety-six |
| Roman numerals | DCCCXCVI |
| Binary (base 2) | 1110000000 |
| Octal (base 8) | 1600 |
| Hexadecimal (base 16) | 380 |
| Base 3 | 1020012 |
| As time | 896 seconds = 14 min 56 s |
Is 896 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (896 ÷ 2 = 448) | 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 (896 ÷ 4 = 224) | 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 (896 ÷ 7 = 128) | 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 (896 ÷ 8 = 112) | 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 896 a prime number?
No. 896 = × 7, so it is divisible by 2.
What are the factors of 896?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896.
What is 896 in binary?
1110000000 (hexadecimal 380, octal 1600).
What is the square root of 896?
About 29.9333, exactly 8√14.
What is 896 in Roman numerals?
DCCCXCVI.
Is 896 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 896?
It is a composite number with 16 divisors.