The number 3376
3376 is a composite number with 10 divisors. Its prime factorisation is × 211. Divisors (10): 1, 2, 4, 8, 16, 211, 422, 844, 1688, 3376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3376: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3376 is composite. Its prime factorisation is
- 3
The divisors add up to 6572; without 3376 itself that is 3196, so 3376 is deficient (3196 is less than 3376). Euler's totient φ(3376) = 1680 numbers up to 3376 share no factor with it.
- 4
The digits of 3376 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3376 = 2^{4} \times 211 \]3376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 6572 |
| Euler totient φ(n) | 1680 |
| Square | 11397376 |
| Cube | 38477541376 |
| Square root | 58.103356 (= 4√211) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.376 × |
3376 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and seventy-six |
| Roman numerals | MMMCCCLXXVI |
| Binary (base 2) | 110100110000 |
| Octal (base 8) | 6460 |
| Hexadecimal (base 16) | D30 |
| Base 3 | 11122001 |
| As time | 3376 seconds = 56 min 16 s |
Is 3376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3376 ÷ 2 = 1688) | 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 (3376 ÷ 4 = 844) | 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 2) | 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 | Yes (3376 ÷ 8 = 422) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 10) | 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 3376 a prime number?
No. 3376 = × 211, so it is divisible by 2.
What are the factors of 3376?
1, 2, 4, 8, 16, 211, 422, 844, 1688, 3376.
What is 3376 in binary?
110100110000 (hexadecimal D30, octal 6460).
What is the square root of 3376?
About 58.1034, exactly 4√211.
What is 3376 in Roman numerals?
MMMCCCLXXVI.
Is 3376 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3376?
3376 is a happy number: repeatedly adding the squares of its digits reaches 1.