The number 1860
1860 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 31. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124 … 1860.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1860: a Harshad number: divisible by its digit sum 15.
- 2
1860 is composite. Its prime factorisation is
- 3
The divisors add up to 5376; without 1860 itself that is 3516, so 1860 is abundant (3516 is more than 1860). Euler's totient φ(1860) = 480 numbers up to 1860 share no factor with it.
- 4
The digits of 1860 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1860 = 2^{2} \times 3 \times 5 \times 31 \]1860 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 5376 |
| Euler totient φ(n) | 480 |
| Square | 3459600 |
| Cube | 6434856000 |
| Square root | 43.127717 (= 2√465) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.86 × |
1860 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and sixty |
| Roman numerals | MDCCCLX |
| Binary (base 2) | 11101000100 |
| Octal (base 8) | 3504 |
| Hexadecimal (base 16) | 744 |
| Base 3 | 2112220 |
| As time | 1860 seconds = 31 min 0 s |
Is 1860 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1860 ÷ 2 = 930) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1860 ÷ 3 = 620) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1860 ÷ 4 = 465) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1860 ÷ 5 = 372) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1860 ÷ 6 = 310) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1860 ÷ 10 = 186) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1860 ÷ 12 = 155) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1860 a prime number?
No. 1860 = × 3 × 5 × 31, so it is divisible by 2.
What are the factors of 1860?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 1860.
What is 1860 in binary?
11101000100 (hexadecimal 744, octal 3504).
What is the square root of 1860?
About 43.1277, exactly 2√465.
What is 1860 in Roman numerals?
MDCCCLX.
Is 1860 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1860?
1860 is a Harshad number: divisible by its digit sum 15.