The number 19401
19401 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 223. Divisors (8): 1, 3, 29, 87, 223, 669, 6467, 19401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
19401 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
19401 is composite. Its prime factorisation is
- 3
The divisors add up to 26880; without 19401 itself that is 7479, so 19401 is deficient (7479 is less than 19401). Euler's totient φ(19401) = 12432 numbers up to 19401 share no factor with it.
- 4
The digits of 19401 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19401 = 3 \times 29 \times 223 \]
19401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 26880 |
| Euler totient φ(n) | 12432 |
| Square | 376398801 |
| Cube | 7302513138201 |
| Square root | 139.287473 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 136 |
| Scientific notation | 1.9401 × |
19401 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand four hundred and one |
| Binary (base 2) | 100101111001001 |
| Octal (base 8) | 45711 |
| Hexadecimal (base 16) | 4BC9 |
| Base 3 | 222121120 |
| As time | 19401 seconds = 5 h 23 min 21 s |
Is 19401 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 (19401 ÷ 3 = 6467) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19401 a prime number?
No. 19401 = 3 × 29 × 223, so it is divisible by 3.
What are the factors of 19401?
1, 3, 29, 87, 223, 669, 6467, 19401.
What is 19401 in binary?
100101111001001 (hexadecimal 4BC9, octal 45711).
What is the square root of 19401?
About 139.2875.
Is 19401 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 19401?
It is a composite number with 8 divisors.