The number 1864
1864 is a composite number with 8 divisors. Its prime factorisation is × 233. Divisors (8): 1, 2, 4, 8, 233, 466, 932, 1864.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1864 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1864 is composite. Its prime factorisation is
- 3
The divisors add up to 3510; without 1864 itself that is 1646, so 1864 is deficient (1646 is less than 1864). Euler's totient φ(1864) = 928 numbers up to 1864 share no factor with it.
- 4
The digits of 1864 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1864 = 2^{3} \times 233 \]1864 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3510 |
| Euler totient φ(n) | 928 |
| Square | 3474496 |
| Cube | 6476460544 |
| Square root | 43.174066 (= 2√466) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.864 × |
1864 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and sixty-four |
| Roman numerals | MDCCCLXIV |
| Binary (base 2) | 11101001000 |
| Octal (base 8) | 3510 |
| Hexadecimal (base 16) | 748 |
| Base 3 | 2120001 |
| As time | 1864 seconds = 31 min 4 s |
Is 1864 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1864 ÷ 2 = 932) | 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 (1864 ÷ 4 = 466) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 2) | 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 (1864 ÷ 8 = 233) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1864 a prime number?
No. 1864 = × 233, so it is divisible by 2.
What are the factors of 1864?
1, 2, 4, 8, 233, 466, 932, 1864.
What is 1864 in binary?
11101001000 (hexadecimal 748, octal 3510).
What is the square root of 1864?
About 43.1741, exactly 2√466.
What is 1864 in Roman numerals?
MDCCCLXIV.
Is 1864 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 1864?
It is a composite number with 8 divisors.