The number 61424
61424 is a composite number with 20 divisors. Its prime factorisation is × 11 × 349. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 349, 698, 1396, 2792, 3839, 5584 … 61424.
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How to work it out
- 1
61424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61424 is composite. Its prime factorisation is
- 3
The divisors add up to 130200; without 61424 itself that is 68776, so 61424 is abundant (68776 is more than 61424). Euler's totient φ(61424) = 27840 numbers up to 61424 share no factor with it.
- 4
The digits of 61424 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61424 = 2^{4} \times 11 \times 349 \]61424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 130200 |
| Euler totient φ(n) | 27840 |
| Square | 3772907776 |
| Cube | 231747087233024 |
| Square root | 247.838657 (= 4√3839) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.1424 × |
61424 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand four hundred and twenty-four |
| Binary (base 2) | 1110111111110000 |
| Octal (base 8) | 167760 |
| Hexadecimal (base 16) | EFF0 |
| Base 3 | 10010020222 |
| As time | 61424 seconds = 17 h 3 min 44 s |
Is 61424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61424 ÷ 2 = 30712) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61424 ÷ 4 = 15356) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (61424 ÷ 8 = 7678) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (61424 ÷ 11 = 5584) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61424 a prime number?
No. 61424 = × 11 × 349, so it is divisible by 2.
What are the factors of 61424?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 349, 698, 1396, 2792, 3839, 5584, 7678, 15356, 30712, 61424.
What is 61424 in binary?
1110111111110000 (hexadecimal EFF0, octal 167760).
What is the square root of 61424?
About 247.8387, exactly 4√3839.
Is 61424 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 61424?
It is a composite number with 20 divisors.