The number 3403
3403 is a triangular number: 1 + 2 + … + 82 = 3403. Its prime factorisation is 41 × 83. Divisors (4): 1, 41, 83, 3403.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3403: a triangular number: 1 + 2 + … + 82 = 3403; a semiprime: 41 × 83, the product of two primes.
- 2
3403 is composite. Its prime factorisation is
- 3
The divisors add up to 3528; without 3403 itself that is 125, so 3403 is deficient (125 is less than 3403). Euler's totient φ(3403) = 3280 numbers up to 3403 share no factor with it.
- 4
The digits of 3403 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3403 = 41 \times 83 \]
3403 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3528 |
| Euler totient φ(n) | 3280 |
| Square | 11580409 |
| Cube | 39408131827 |
| Square root | 58.335238 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.403 × |
3403 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and three |
| Roman numerals | MMMCDIII |
| Binary (base 2) | 110101001011 |
| Octal (base 8) | 6513 |
| Hexadecimal (base 16) | D4B |
| Base 3 | 11200001 |
| As time | 3403 seconds = 56 min 43 s |
Is 3403 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3403 a prime number?
No. 3403 = 41 × 83, so it is divisible by 41.
What are the factors of 3403?
1, 41, 83, 3403.
What is 3403 in binary?
110101001011 (hexadecimal D4B, octal 6513).
What is the square root of 3403?
About 58.3352.
What is 3403 in Roman numerals?
MMMCDIII.
Is 3403 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3403?
3403 is a triangular number: 1 + 2 + … + 82 = 3403; a semiprime: 41 × 83, the product of two primes.