The number 3802
3802 is a composite number with 4 divisors. Its prime factorisation is 2 × 1901. Divisors (4): 1, 2, 1901, 3802.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3802: a semiprime: 2 × 1901, the product of two primes.
- 2
3802 is composite. Its prime factorisation is
- 3
The divisors add up to 5706; without 3802 itself that is 1904, so 3802 is deficient (1904 is less than 3802). Euler's totient φ(3802) = 1900 numbers up to 3802 share no factor with it.
- 4
The digits of 3802 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3802 = 2 \times 1901 \]
3802 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5706 |
| Euler totient φ(n) | 1900 |
| Square | 14455204 |
| Cube | 54958685608 |
| Square root | 61.660360 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.802 × |
3802 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and two |
| Roman numerals | MMMDCCCII |
| Binary (base 2) | 111011011010 |
| Octal (base 8) | 7332 |
| Hexadecimal (base 16) | EDA |
| Base 3 | 12012211 |
| As time | 3802 seconds = 1 h 3 min 22 s |
Is 3802 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3802 ÷ 2 = 1901) | 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 | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3802 a prime number?
No. 3802 = 2 × 1901, so it is divisible by 2.
What are the factors of 3802?
1, 2, 1901, 3802.
What is 3802 in binary?
111011011010 (hexadecimal EDA, octal 7332).
What is the square root of 3802?
About 61.6604.
What is 3802 in Roman numerals?
MMMDCCCII.
Is 3802 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3802?
3802 is a semiprime: 2 × 1901, the product of two primes.