The number 3354
3354 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 43. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 43, 78, 86, 129, 258, 559, 1118, 1677, 3354.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3354 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3354 is composite. Its prime factorisation is
- 3
The divisors add up to 7392; without 3354 itself that is 4038, so 3354 is abundant (4038 is more than 3354). Euler's totient φ(3354) = 1008 numbers up to 3354 share no factor with it.
- 4
The digits of 3354 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3354 = 2 \times 3 \times 13 \times 43 \]
3354 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7392 |
| Euler totient φ(n) | 1008 |
| Square | 11249316 |
| Cube | 37730205864 |
| Square root | 57.913729 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.354 × |
3354 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and fifty-four |
| Roman numerals | MMMCCCLIV |
| Binary (base 2) | 110100011010 |
| Octal (base 8) | 6432 |
| Hexadecimal (base 16) | D1A |
| Base 3 | 11121020 |
| As time | 3354 seconds = 55 min 54 s |
Is 3354 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3354 ÷ 2 = 1677) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3354 ÷ 3 = 1118) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (3354 ÷ 6 = 559) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3354 a prime number?
No. 3354 = 2 × 3 × 13 × 43, so it is divisible by 2.
What are the factors of 3354?
1, 2, 3, 6, 13, 26, 39, 43, 78, 86, 129, 258, 559, 1118, 1677, 3354.
What is 3354 in binary?
110100011010 (hexadecimal D1A, octal 6432).
What is the square root of 3354?
About 57.9137.
What is 3354 in Roman numerals?
MMMCCCLIV.
Is 3354 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3354?
It is a composite number with 16 divisors.