The number 832
832 is a composite number with 14 divisors. Its prime factorisation is × 13. Divisors (14): 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 832: a Harshad number: divisible by its digit sum 13.
- 2
832 is composite. Its prime factorisation is
- 3
The divisors add up to 1778; without 832 itself that is 946, so 832 is abundant (946 is more than 832). Euler's totient φ(832) = 384 numbers up to 832 share no factor with it.
- 4
The digits of 832 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 15 steps to reach 1.
LaTeX source of the formulas on this page
\[ 832 = 2^{6} \times 13 \]832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 1778 |
| Euler totient φ(n) | 384 |
| Square | 692224 |
| Cube | 575930368 |
| Square root | 28.844410 (= 8√13) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 15 |
| Scientific notation | 8.32 × |
832 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and thirty-two |
| Roman numerals | DCCCXXXII |
| Binary (base 2) | 1101000000 |
| Octal (base 8) | 1500 |
| Hexadecimal (base 16) | 340 |
| Base 3 | 1010211 |
| As time | 832 seconds = 13 min 52 s |
Is 832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (832 ÷ 2 = 416) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (832 ÷ 4 = 208) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (832 ÷ 8 = 104) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 832 a prime number?
No. 832 = × 13, so it is divisible by 2.
What are the factors of 832?
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832.
What is 832 in binary?
1101000000 (hexadecimal 340, octal 1500).
What is the square root of 832?
About 28.8444, exactly 8√13.
What is 832 in Roman numerals?
DCCCXXXII.
Is 832 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 832?
832 is a Harshad number: divisible by its digit sum 13.