The number 3351
3351 is a composite number with 4 divisors. Its prime factorisation is 3 × 1117. Divisors (4): 1, 3, 1117, 3351.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3351: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 1117, the product of two primes.
- 2
3351 is composite. Its prime factorisation is
- 3
The divisors add up to 4472; without 3351 itself that is 1121, so 3351 is deficient (1121 is less than 3351). Euler's totient φ(3351) = 2232 numbers up to 3351 share no factor with it.
- 4
The digits of 3351 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3351 = 3 \times 1117 \]
3351 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4472 |
| Euler totient φ(n) | 2232 |
| Square | 11229201 |
| Cube | 37629052551 |
| Square root | 57.887823 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.351 × |
3351 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and fifty-one |
| Roman numerals | MMMCCCLI |
| Binary (base 2) | 110100010111 |
| Octal (base 8) | 6427 |
| Hexadecimal (base 16) | D17 |
| Base 3 | 11121010 |
| As time | 3351 seconds = 55 min 51 s |
Is 3351 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 (3351 ÷ 3 = 1117) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3351 a prime number?
No. 3351 = 3 × 1117, so it is divisible by 3.
What are the factors of 3351?
1, 3, 1117, 3351.
What is 3351 in binary?
110100010111 (hexadecimal D17, octal 6427).
What is the square root of 3351?
About 57.8878.
What is 3351 in Roman numerals?
MMMCCCLI.
Is 3351 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3351?
3351 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 1117, the product of two primes.