The number 1802
1802 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 53. Divisors (8): 1, 2, 17, 34, 53, 106, 901, 1802.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1802 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1802 is composite. Its prime factorisation is
- 3
The divisors add up to 2916; without 1802 itself that is 1114, so 1802 is deficient (1114 is less than 1802). Euler's totient φ(1802) = 832 numbers up to 1802 share no factor with it.
- 4
The digits of 1802 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1802 = 2 \times 17 \times 53 \]
1802 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2916 |
| Euler totient φ(n) | 832 |
| Square | 3247204 |
| Cube | 5851461608 |
| Square root | 42.449971 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.802 × |
1802 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and two |
| Roman numerals | MDCCCII |
| Binary (base 2) | 11100001010 |
| Octal (base 8) | 3412 |
| Hexadecimal (base 16) | 70A |
| Base 3 | 2110202 |
| As time | 1802 seconds = 30 min 2 s |
Is 1802 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1802 ÷ 2 = 901) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 2) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1802 a prime number?
No. 1802 = 2 × 17 × 53, so it is divisible by 2.
What are the factors of 1802?
1, 2, 17, 34, 53, 106, 901, 1802.
What is 1802 in binary?
11100001010 (hexadecimal 70A, octal 3412).
What is the square root of 1802?
About 42.4500.
What is 1802 in Roman numerals?
MDCCCII.
Is 1802 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1802?
It is a composite number with 8 divisors.