The number 61461
61461 is a composite number with 6 divisors. Its prime factorisation is × 6829. Divisors (6): 1, 3, 9, 6829, 20487, 61461.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61461 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61461 is composite. Its prime factorisation is
- 3
The divisors add up to 88790; without 61461 itself that is 27329, so 61461 is deficient (27329 is less than 61461). Euler's totient φ(61461) = 40968 numbers up to 61461 share no factor with it.
- 4
The digits of 61461 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61461 = 3^{2} \times 6829 \]61461 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 88790 |
| Euler totient φ(n) | 40968 |
| Square | 3777454521 |
| Cube | 232166132315181 |
| Square root | 247.913291 (= 3√6829) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.1461 × |
61461 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand four hundred and sixty-one |
| Binary (base 2) | 1111000000010101 |
| Octal (base 8) | 170025 |
| Hexadecimal (base 16) | F015 |
| Base 3 | 10010022100 |
| As time | 61461 seconds = 17 h 4 min 21 s |
Is 61461 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 (61461 ÷ 3 = 20487) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61461 ÷ 9 = 6829) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61461 a prime number?
No. 61461 = × 6829, so it is divisible by 3.
What are the factors of 61461?
1, 3, 9, 6829, 20487, 61461.
What is 61461 in binary?
1111000000010101 (hexadecimal F015, octal 170025).
What is the square root of 61461?
About 247.9133, exactly 3√6829.
Is 61461 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61461?
It is a composite number with 6 divisors.