The number 61024
61024 is a composite number with 12 divisors. Its prime factorisation is × 1907. Divisors (12): 1, 2, 4, 8, 16, 32, 1907, 3814, 7628, 15256, 30512, 61024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61024 is composite. Its prime factorisation is
- 3
The divisors add up to 120204; without 61024 itself that is 59180, so 61024 is deficient (59180 is less than 61024). Euler's totient φ(61024) = 30496 numbers up to 61024 share no factor with it.
- 4
The digits of 61024 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61024 = 2^{5} \times 1907 \]61024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 120204 |
| Euler totient φ(n) | 30496 |
| Square | 3723928576 |
| Cube | 227249017421824 |
| Square root | 247.030363 (= 4√3814) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 34 |
| Scientific notation | 6.1024 × |
61024 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand and twenty-four |
| Binary (base 2) | 1110111001100000 |
| Octal (base 8) | 167140 |
| Hexadecimal (base 16) | EE60 |
| Base 3 | 10002201011 |
| As time | 61024 seconds = 16 h 57 min 4 s |
Is 61024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61024 ÷ 2 = 30512) | 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 | Yes (61024 ÷ 4 = 15256) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (61024 ÷ 8 = 7628) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61024 a prime number?
No. 61024 = × 1907, so it is divisible by 2.
What are the factors of 61024?
1, 2, 4, 8, 16, 32, 1907, 3814, 7628, 15256, 30512, 61024.
What is 61024 in binary?
1110111001100000 (hexadecimal EE60, octal 167140).
What is the square root of 61024?
About 247.0304, exactly 4√3814.
Is 61024 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 61024?
It is a composite number with 12 divisors.