The number 3397
3397 is a composite number with 4 divisors. Its prime factorisation is 43 × 79. Divisors (4): 1, 43, 79, 3397.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3397: a semiprime: 43 × 79, the product of two primes.
- 2
3397 is composite. Its prime factorisation is
- 3
The divisors add up to 3520; without 3397 itself that is 123, so 3397 is deficient (123 is less than 3397). Euler's totient φ(3397) = 3276 numbers up to 3397 share no factor with it.
- 4
The digits of 3397 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3397 = 43 \times 79 \]
3397 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3520 |
| Euler totient φ(n) | 3276 |
| Square | 11539609 |
| Cube | 39200051773 |
| Square root | 58.283788 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.397 × |
3397 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and ninety-seven |
| Roman numerals | MMMCCCXCVII |
| Binary (base 2) | 110101000101 |
| Octal (base 8) | 6505 |
| Hexadecimal (base 16) | D45 |
| Base 3 | 11122211 |
| As time | 3397 seconds = 56 min 37 s |
Is 3397 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 | No (remainder 1) | 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 1) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3397 a prime number?
No. 3397 = 43 × 79, so it is divisible by 43.
What are the factors of 3397?
1, 43, 79, 3397.
What is 3397 in binary?
110101000101 (hexadecimal D45, octal 6505).
What is the square root of 3397?
About 58.2838.
What is 3397 in Roman numerals?
MMMCCCXCVII.
Is 3397 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 3397?
3397 is a semiprime: 43 × 79, the product of two primes.