The number 3401
3401 is a composite number with 4 divisors. Its prime factorisation is 19 × 179. Divisors (4): 1, 19, 179, 3401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3401: a semiprime: 19 × 179, the product of two primes.
- 2
3401 is composite. Its prime factorisation is
- 3
The divisors add up to 3600; without 3401 itself that is 199, so 3401 is deficient (199 is less than 3401). Euler's totient φ(3401) = 3204 numbers up to 3401 share no factor with it.
- 4
The digits of 3401 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3401 = 19 \times 179 \]
3401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3600 |
| Euler totient φ(n) | 3204 |
| Square | 11566801 |
| Cube | 39338690201 |
| Square root | 58.318093 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 87 |
| Scientific notation | 3.401 × |
3401 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and one |
| Roman numerals | MMMCDI |
| Binary (base 2) | 110101001001 |
| Octal (base 8) | 6511 |
| Hexadecimal (base 16) | D49 |
| Base 3 | 11122222 |
| As time | 3401 seconds = 56 min 41 s |
Is 3401 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 1) | 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 | No (remainder 6) | 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 1) | 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 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3401 a prime number?
No. 3401 = 19 × 179, so it is divisible by 19.
What are the factors of 3401?
1, 19, 179, 3401.
What is 3401 in binary?
110101001001 (hexadecimal D49, octal 6511).
What is the square root of 3401?
About 58.3181.
What is 3401 in Roman numerals?
MMMCDI.
Is 3401 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 3401?
3401 is a semiprime: 19 × 179, the product of two primes.