The number 3676
3676 is a composite number with 6 divisors. Its prime factorisation is × 919. Divisors (6): 1, 2, 4, 919, 1838, 3676.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3676: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3676 is composite. Its prime factorisation is
- 3
The divisors add up to 6440; without 3676 itself that is 2764, so 3676 is deficient (2764 is less than 3676). Euler's totient φ(3676) = 1836 numbers up to 3676 share no factor with it.
- 4
The digits of 3676 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3676 = 2^{2} \times 919 \]3676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 6440 |
| Euler totient φ(n) | 1836 |
| Square | 13512976 |
| Cube | 49673699776 |
| Square root | 60.630026 (= 2√919) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.676 × |
3676 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and seventy-six |
| Roman numerals | MMMDCLXXVI |
| Binary (base 2) | 111001011100 |
| Octal (base 8) | 7134 |
| Hexadecimal (base 16) | E5C |
| Base 3 | 12001011 |
| As time | 3676 seconds = 1 h 1 min 16 s |
Is 3676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3676 ÷ 2 = 1838) | 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 | Yes (3676 ÷ 4 = 919) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3676 a prime number?
No. 3676 = × 919, so it is divisible by 2.
What are the factors of 3676?
1, 2, 4, 919, 1838, 3676.
What is 3676 in binary?
111001011100 (hexadecimal E5C, octal 7134).
What is the square root of 3676?
About 60.6300, exactly 2√919.
What is 3676 in Roman numerals?
MMMDCLXXVI.
Is 3676 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 3676?
3676 is a happy number: repeatedly adding the squares of its digits reaches 1.