The number 846
846 is a composite number with 12 divisors. Its prime factorisation is 2 × × 47. Divisors (12): 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 846: a Harshad number: divisible by its digit sum 18.
- 2
846 is composite. Its prime factorisation is
- 3
The divisors add up to 1872; without 846 itself that is 1026, so 846 is abundant (1026 is more than 846). Euler's totient φ(846) = 276 numbers up to 846 share no factor with it.
- 4
The digits of 846 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 846 = 2 \times 3^{2} \times 47 \]846 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1872 |
| Euler totient φ(n) | 276 |
| Square | 715716 |
| Cube | 605495736 |
| Square root | 29.086079 (= 3√94) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 33 |
| Scientific notation | 8.46 × |
846 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and forty-six |
| Roman numerals | DCCCXLVI |
| Binary (base 2) | 1101001110 |
| Octal (base 8) | 1516 |
| Hexadecimal (base 16) | 34E |
| Base 3 | 1011100 |
| As time | 846 seconds = 14 min 6 s |
Is 846 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (846 ÷ 2 = 423) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (846 ÷ 3 = 282) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (846 ÷ 6 = 141) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (846 ÷ 9 = 94) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 846 a prime number?
No. 846 = 2 × × 47, so it is divisible by 2.
What are the factors of 846?
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846.
What is 846 in binary?
1101001110 (hexadecimal 34E, octal 1516).
What is the square root of 846?
About 29.0861, exactly 3√94.
What is 846 in Roman numerals?
DCCCXLVI.
Is 846 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 846?
846 is a Harshad number: divisible by its digit sum 18.