The number 67201
67201 is a composite number with 8 divisors. Its prime factorisation is 17 × 59 × 67. Divisors (8): 1, 17, 59, 67, 1003, 1139, 3953, 67201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67201 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67201 is composite. Its prime factorisation is
- 3
The divisors add up to 73440; without 67201 itself that is 6239, so 67201 is deficient (6239 is less than 67201). Euler's totient φ(67201) = 61248 numbers up to 67201 share no factor with it.
- 4
The digits of 67201 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67201 = 17 \times 59 \times 67 \]
67201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 73440 |
| Euler totient φ(n) | 61248 |
| Square | 4515974401 |
| Cube | 303477995721601 |
| Square root | 259.231557 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.7201 × |
67201 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and one |
| Binary (base 2) | 10000011010000001 |
| Octal (base 8) | 203201 |
| Hexadecimal (base 16) | 10681 |
| Base 3 | 10102011221 |
| As time | 67201 seconds = 18 h 40 min 1 s |
Is 67201 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67201 a prime number?
No. 67201 = 17 × 59 × 67, so it is divisible by 17.
What are the factors of 67201?
1, 17, 59, 67, 1003, 1139, 3953, 67201.
What is 67201 in binary?
10000011010000001 (hexadecimal 10681, octal 203201).
What is the square root of 67201?
About 259.2316.
Is 67201 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 67201?
It is a composite number with 8 divisors.