The number 3476
3476 is a composite number with 12 divisors. Its prime factorisation is × 11 × 79. Divisors (12): 1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3476 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3476 is composite. Its prime factorisation is
- 3
The divisors add up to 6720; without 3476 itself that is 3244, so 3476 is deficient (3244 is less than 3476). Euler's totient φ(3476) = 1560 numbers up to 3476 share no factor with it.
- 4
The digits of 3476 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 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3476 = 2^{2} \times 11 \times 79 \]3476 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6720 |
| Euler totient φ(n) | 1560 |
| Square | 12082576 |
| Cube | 41999034176 |
| Square root | 58.957612 (= 2√869) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.476 × |
3476 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and seventy-six |
| Roman numerals | MMMCDLXXVI |
| Binary (base 2) | 110110010100 |
| Octal (base 8) | 6624 |
| Hexadecimal (base 16) | D94 |
| Base 3 | 11202202 |
| As time | 3476 seconds = 57 min 56 s |
Is 3476 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3476 ÷ 2 = 1738) | 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 (3476 ÷ 4 = 869) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3476 ÷ 11 = 316) | 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 3476 a prime number?
No. 3476 = × 11 × 79, so it is divisible by 2.
What are the factors of 3476?
1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476.
What is 3476 in binary?
110110010100 (hexadecimal D94, octal 6624).
What is the square root of 3476?
About 58.9576, exactly 2√869.
What is 3476 in Roman numerals?
MMMCDLXXVI.
Is 3476 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3476?
It is a composite number with 12 divisors.