The number 19201
19201 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 211. Divisors (8): 1, 7, 13, 91, 211, 1477, 2743, 19201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 19201: a Harshad number: divisible by its digit sum 13.
- 2
19201 is composite. Its prime factorisation is
- 3
The divisors add up to 23744; without 19201 itself that is 4543, so 19201 is deficient (4543 is less than 19201). Euler's totient φ(19201) = 15120 numbers up to 19201 share no factor with it.
- 4
The digits of 19201 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 167 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19201 = 7 \times 13 \times 211 \]
19201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23744 |
| Euler totient φ(n) | 15120 |
| Square | 368678401 |
| Cube | 7078993977601 |
| Square root | 138.567673 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 167 |
| Scientific notation | 1.9201 × |
19201 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand two hundred and one |
| Binary (base 2) | 100101100000001 |
| Octal (base 8) | 45401 |
| Hexadecimal (base 16) | 4B01 |
| Base 3 | 222100011 |
| As time | 19201 seconds = 5 h 20 min 1 s |
Is 19201 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 1) | 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 | Yes (19201 ÷ 7 = 2743) | 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 4) | 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 6) | 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 19201 a prime number?
No. 19201 = 7 × 13 × 211, so it is divisible by 7.
What are the factors of 19201?
1, 7, 13, 91, 211, 1477, 2743, 19201.
What is 19201 in binary?
100101100000001 (hexadecimal 4B01, octal 45401).
What is the square root of 19201?
About 138.5677.
Is 19201 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 19201?
19201 is a Harshad number: divisible by its digit sum 13.