The number 7201
7201 is a composite number with 4 divisors. Its prime factorisation is 19 × 379. Divisors (4): 1, 19, 379, 7201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7201: a semiprime: 19 × 379, the product of two primes.
- 2
7201 is composite. Its prime factorisation is
- 3
The divisors add up to 7600; without 7201 itself that is 399, so 7201 is deficient (399 is less than 7201). Euler's totient φ(7201) = 6804 numbers up to 7201 share no factor with it.
- 4
The digits of 7201 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 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7201 = 19 \times 379 \]
7201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7600 |
| Euler totient φ(n) | 6804 |
| Square | 51854401 |
| Cube | 373403541601 |
| Square root | 84.858706 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 163 |
| Scientific notation | 7.201 × |
7201 in other forms
| Form | Value |
|---|---|
| In words | seven thousand two hundred and one |
| Binary (base 2) | 1110000100001 |
| Octal (base 8) | 16041 |
| Hexadecimal (base 16) | 1C21 |
| Base 3 | 100212201 |
| As time | 7201 seconds = 2 h 0 min 1 s |
Is 7201 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 | No (remainder 5) | 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 1) | 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 7) | 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 7201 a prime number?
No. 7201 = 19 × 379, so it is divisible by 19.
What are the factors of 7201?
1, 19, 379, 7201.
What is 7201 in binary?
1110000100001 (hexadecimal 1C21, octal 16041).
What is the square root of 7201?
About 84.8587.
Is 7201 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 7201?
7201 is a semiprime: 19 × 379, the product of two primes.