The number 1386
1386 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 11. Divisors (24): 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77 … 1386.
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How to work it out
- 1
What is special about 1386: a Harshad number: divisible by its digit sum 18.
- 2
1386 is composite. Its prime factorisation is
- 3
The divisors add up to 3744; without 1386 itself that is 2358, so 1386 is abundant (2358 is more than 1386). Euler's totient φ(1386) = 360 numbers up to 1386 share no factor with it.
- 4
The digits of 1386 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1386 = 2 \times 3^{2} \times 7 \times 11 \]1386 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 3744 |
| Euler totient φ(n) | 360 |
| Square | 1920996 |
| Cube | 2662500456 |
| Square root | 37.229021 (= 3√154) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.386 × |
1386 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and eighty-six |
| Roman numerals | MCCCLXXXVI |
| Binary (base 2) | 10101101010 |
| Octal (base 8) | 2552 |
| Hexadecimal (base 16) | 56A |
| Base 3 | 1220100 |
| As time | 1386 seconds = 23 min 6 s |
Is 1386 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1386 ÷ 2 = 693) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1386 ÷ 3 = 462) | 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 (1386 ÷ 6 = 231) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1386 ÷ 7 = 198) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1386 ÷ 9 = 154) | 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 | Yes (1386 ÷ 11 = 126) | 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 1386 a prime number?
No. 1386 = 2 × × 7 × 11, so it is divisible by 2.
What are the factors of 1386?
1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 126, 154, 198, 231, 462, 693, 1386.
What is 1386 in binary?
10101101010 (hexadecimal 56A, octal 2552).
What is the square root of 1386?
About 37.2290, exactly 3√154.
What is 1386 in Roman numerals?
MCCCLXXXVI.
Is 1386 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 1386?
1386 is a Harshad number: divisible by its digit sum 18.