The number 3437
3437 is a composite number with 4 divisors. Its prime factorisation is 7 × 491. Divisors (4): 1, 7, 491, 3437.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3437: a semiprime: 7 × 491, the product of two primes.
- 2
3437 is composite. Its prime factorisation is
- 3
The divisors add up to 3936; without 3437 itself that is 499, so 3437 is deficient (499 is less than 3437). Euler's totient φ(3437) = 2940 numbers up to 3437 share no factor with it.
- 4
The digits of 3437 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3437 = 7 \times 491 \]
3437 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3936 |
| Euler totient φ(n) | 2940 |
| Square | 11812969 |
| Cube | 40601174453 |
| Square root | 58.625933 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 149 |
| Scientific notation | 3.437 × |
3437 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and thirty-seven |
| Roman numerals | MMMCDXXXVII |
| Binary (base 2) | 110101101101 |
| Octal (base 8) | 6555 |
| Hexadecimal (base 16) | D6D |
| Base 3 | 11201022 |
| As time | 3437 seconds = 57 min 17 s |
Is 3437 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3437 ÷ 7 = 491) | 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 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3437 a prime number?
No. 3437 = 7 × 491, so it is divisible by 7.
What are the factors of 3437?
1, 7, 491, 3437.
What is 3437 in binary?
110101101101 (hexadecimal D6D, octal 6555).
What is the square root of 3437?
About 58.6259.
What is 3437 in Roman numerals?
MMMCDXXXVII.
Is 3437 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3437?
3437 is a semiprime: 7 × 491, the product of two primes.