The number 3702
3702 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 617. Divisors (8): 1, 2, 3, 6, 617, 1234, 1851, 3702.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3702 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3702 is composite. Its prime factorisation is
- 3
The divisors add up to 7416; without 3702 itself that is 3714, so 3702 is abundant (3714 is more than 3702). Euler's totient φ(3702) = 1232 numbers up to 3702 share no factor with it.
- 4
The digits of 3702 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3702 = 2 \times 3 \times 617 \]
3702 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7416 |
| Euler totient φ(n) | 1232 |
| Square | 13704804 |
| Cube | 50735184408 |
| Square root | 60.844063 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.702 × |
3702 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and two |
| Roman numerals | MMMDCCII |
| Binary (base 2) | 111001110110 |
| Octal (base 8) | 7166 |
| Hexadecimal (base 16) | E76 |
| Base 3 | 12002010 |
| As time | 3702 seconds = 1 h 1 min 42 s |
Is 3702 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3702 ÷ 2 = 1851) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3702 ÷ 3 = 1234) | 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 | Yes (3702 ÷ 6 = 617) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | 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 3702 a prime number?
No. 3702 = 2 × 3 × 617, so it is divisible by 2.
What are the factors of 3702?
1, 2, 3, 6, 617, 1234, 1851, 3702.
What is 3702 in binary?
111001110110 (hexadecimal E76, octal 7166).
What is the square root of 3702?
About 60.8441.
What is 3702 in Roman numerals?
MMMDCCII.
Is 3702 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3702?
It is a composite number with 8 divisors.