The number 61971
61971 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 13 × 227. Divisors (16): 1, 3, 7, 13, 21, 39, 91, 227, 273, 681, 1589, 2951, 4767, 8853, 20657, 61971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61971 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61971 is composite. Its prime factorisation is
- 3
The divisors add up to 102144; without 61971 itself that is 40173, so 61971 is deficient (40173 is less than 61971). Euler's totient φ(61971) = 32544 numbers up to 61971 share no factor with it.
- 4
The digits of 61971 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61971 = 3 \times 7 \times 13 \times 227 \]
61971 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 102144 |
| Euler totient φ(n) | 32544 |
| Square | 3840404841 |
| Cube | 237993728401611 |
| Square root | 248.939752 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.1971 × |
61971 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand nine hundred and seventy-one |
| Binary (base 2) | 1111001000010011 |
| Octal (base 8) | 171023 |
| Hexadecimal (base 16) | F213 |
| Base 3 | 10011000020 |
| As time | 61971 seconds = 17 h 12 min 51 s |
Is 61971 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 (61971 ÷ 3 = 20657) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | Yes (61971 ÷ 7 = 8853) | 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 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61971 a prime number?
No. 61971 = 3 × 7 × 13 × 227, so it is divisible by 3.
What are the factors of 61971?
1, 3, 7, 13, 21, 39, 91, 227, 273, 681, 1589, 2951, 4767, 8853, 20657, 61971.
What is 61971 in binary?
1111001000010011 (hexadecimal F213, octal 171023).
What is the square root of 61971?
About 248.9398.
Is 61971 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 61971?
It is a composite number with 16 divisors.