The number 3357
3357 is a composite number with 6 divisors. Its prime factorisation is × 373. Divisors (6): 1, 3, 9, 373, 1119, 3357.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3357 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3357 is composite. Its prime factorisation is
- 3
The divisors add up to 4862; without 3357 itself that is 1505, so 3357 is deficient (1505 is less than 3357). Euler's totient φ(3357) = 2232 numbers up to 3357 share no factor with it.
- 4
The digits of 3357 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3357 = 3^{2} \times 373 \]3357 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 4862 |
| Euler totient φ(n) | 2232 |
| Square | 11269449 |
| Cube | 37831540293 |
| Square root | 57.939624 (= 3√373) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 87 |
| Scientific notation | 3.357 × |
3357 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and fifty-seven |
| Roman numerals | MMMCCCLVII |
| Binary (base 2) | 110100011101 |
| Octal (base 8) | 6435 |
| Hexadecimal (base 16) | D1D |
| Base 3 | 11121100 |
| As time | 3357 seconds = 55 min 57 s |
Is 3357 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3357 ÷ 3 = 1119) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3357 ÷ 9 = 373) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3357 a prime number?
No. 3357 = × 373, so it is divisible by 3.
What are the factors of 3357?
1, 3, 9, 373, 1119, 3357.
What is 3357 in binary?
110100011101 (hexadecimal D1D, octal 6435).
What is the square root of 3357?
About 57.9396, exactly 3√373.
What is 3357 in Roman numerals?
MMMCCCLVII.
Is 3357 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3357?
It is a composite number with 6 divisors.