The number 3356
3356 is a composite number with 6 divisors. Its prime factorisation is × 839. Divisors (6): 1, 2, 4, 839, 1678, 3356.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3356: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3356 is composite. Its prime factorisation is
- 3
The divisors add up to 5880; without 3356 itself that is 2524, so 3356 is deficient (2524 is less than 3356). Euler's totient φ(3356) = 1676 numbers up to 3356 share no factor with it.
- 4
The digits of 3356 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3356 = 2^{2} \times 839 \]3356 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 5880 |
| Euler totient φ(n) | 1676 |
| Square | 11262736 |
| Cube | 37797742016 |
| Square root | 57.930993 (= 2√839) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 87 |
| Scientific notation | 3.356 × |
3356 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and fifty-six |
| Roman numerals | MMMCCCLVI |
| Binary (base 2) | 110100011100 |
| Octal (base 8) | 6434 |
| Hexadecimal (base 16) | D1C |
| Base 3 | 11121022 |
| As time | 3356 seconds = 55 min 56 s |
Is 3356 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3356 ÷ 2 = 1678) | 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 (3356 ÷ 4 = 839) | 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 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 8) | 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 1) | 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 3356 a prime number?
No. 3356 = × 839, so it is divisible by 2.
What are the factors of 3356?
1, 2, 4, 839, 1678, 3356.
What is 3356 in binary?
110100011100 (hexadecimal D1C, octal 6434).
What is the square root of 3356?
About 57.9310, exactly 2√839.
What is 3356 in Roman numerals?
MMMCCCLVI.
Is 3356 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3356?
3356 is a happy number: repeatedly adding the squares of its digits reaches 1.