The number 3699
3699 is a composite number with 8 divisors. Its prime factorisation is × 137. Divisors (8): 1, 3, 9, 27, 137, 411, 1233, 3699.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3699: a Harshad number: divisible by its digit sum 27.
- 2
3699 is composite. Its prime factorisation is
- 3
The divisors add up to 5520; without 3699 itself that is 1821, so 3699 is deficient (1821 is less than 3699). Euler's totient φ(3699) = 2448 numbers up to 3699 share no factor with it.
- 4
The digits of 3699 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3699 = 3^{3} \times 137 \]3699 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5520 |
| Euler totient φ(n) | 2448 |
| Square | 13682601 |
| Cube | 50611941099 |
| Square root | 60.819405 (= 3√411) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 69 |
| Scientific notation | 3.699 × |
3699 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and ninety-nine |
| Roman numerals | MMMDCXCIX |
| Binary (base 2) | 111001110011 |
| Octal (base 8) | 7163 |
| Hexadecimal (base 16) | E73 |
| Base 3 | 12002000 |
| As time | 3699 seconds = 1 h 1 min 39 s |
Is 3699 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3699 ÷ 3 = 1233) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3699 ÷ 9 = 411) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3699 a prime number?
No. 3699 = × 137, so it is divisible by 3.
What are the factors of 3699?
1, 3, 9, 27, 137, 411, 1233, 3699.
What is 3699 in binary?
111001110011 (hexadecimal E73, octal 7163).
What is the square root of 3699?
About 60.8194, exactly 3√411.
What is 3699 in Roman numerals?
MMMDCXCIX.
Is 3699 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 3699?
3699 is a Harshad number: divisible by its digit sum 27.