The number 3692
3692 is a composite number with 12 divisors. Its prime factorisation is × 13 × 71. Divisors (12): 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3692: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3692 is composite. Its prime factorisation is
- 3
The divisors add up to 7056; without 3692 itself that is 3364, so 3692 is deficient (3364 is less than 3692). Euler's totient φ(3692) = 1680 numbers up to 3692 share no factor with it.
- 4
The digits of 3692 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3692 = 2^{2} \times 13 \times 71 \]3692 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7056 |
| Euler totient φ(n) | 1680 |
| Square | 13630864 |
| Cube | 50325149888 |
| Square root | 60.761830 (= 2√923) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 69 |
| Scientific notation | 3.692 × |
3692 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and ninety-two |
| Roman numerals | MMMDCXCII |
| Binary (base 2) | 111001101100 |
| Octal (base 8) | 7154 |
| Hexadecimal (base 16) | E6C |
| Base 3 | 12001202 |
| As time | 3692 seconds = 1 h 1 min 32 s |
Is 3692 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3692 ÷ 2 = 1846) | 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 | Yes (3692 ÷ 4 = 923) | 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 4) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3692 a prime number?
No. 3692 = × 13 × 71, so it is divisible by 2.
What are the factors of 3692?
1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692.
What is 3692 in binary?
111001101100 (hexadecimal E6C, octal 7154).
What is the square root of 3692?
About 60.7618, exactly 2√923.
What is 3692 in Roman numerals?
MMMDCXCII.
Is 3692 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3692?
3692 is a happy number: repeatedly adding the squares of its digits reaches 1.