The number 61201
61201 is a composite number with 6 divisors. Its prime factorisation is Ć 1249. Divisors (6): 1, 7, 49, 1249, 8743, 61201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61201 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61201 is composite. Its prime factorisation is
- 3
The divisors add up to 71250; without 61201 itself that is 10049, so 61201 is deficient (10049 is less than 61201). Euler's totient Ļ(61201) = 52416 numbers up to 61201 share no factor with it.
- 4
The digits of 61201 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 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61201 = 7^{2} \times 1249 \]61201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 71250 |
| Euler totient Ļ(n) | 52416 |
| Square | 3745562401 |
| Cube | 229232164503601 |
| Square root | 247.388359 (= 7ā1249) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.1201 Ć |
61201 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand two hundred and one |
| Binary (base 2) | 1110111100010001 |
| Octal (base 8) | 167421 |
| Hexadecimal (base 16) | EF11 |
| Base 3 | 10002221201 |
| As time | 61201 seconds = 17 h 0 min 1 s |
Is 61201 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 (61201 Ć· 7 = 8743) | 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 8) | 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 61201 a prime number?
No. 61201 = Ć 1249, so it is divisible by 7.
What are the factors of 61201?
1, 7, 49, 1249, 8743, 61201.
What is 61201 in binary?
1110111100010001 (hexadecimal EF11, octal 167421).
What is the square root of 61201?
About 247.3884, exactly 7ā1249.
Is 61201 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 61201?
It is a composite number with 6 divisors.