The number 61224
61224 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2551. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2551, 5102, 7653, 10204, 15306, 20408, 30612, 61224.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61224 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61224 is composite. Its prime factorisation is
- 3
The divisors add up to 153120; without 61224 itself that is 91896, so 61224 is abundant (91896 is more than 61224). Euler's totient φ(61224) = 20400 numbers up to 61224 share no factor with it.
- 4
The digits of 61224 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61224 = 2^{3} \times 3 \times 2551 \]61224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 153120 |
| Euler totient φ(n) | 20400 |
| Square | 3748378176 |
| Cube | 229490705447424 |
| Square root | 247.434840 (= 2√15306) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.1224 × |
61224 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand two hundred and twenty-four |
| Binary (base 2) | 1110111100101000 |
| Octal (base 8) | 167450 |
| Hexadecimal (base 16) | EF28 |
| Base 3 | 10002222120 |
| As time | 61224 seconds = 17 h 0 min 24 s |
Is 61224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61224 ÷ 2 = 30612) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61224 ÷ 3 = 20408) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61224 ÷ 4 = 15306) | 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 | Yes (61224 ÷ 6 = 10204) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (61224 ÷ 8 = 7653) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61224 ÷ 12 = 5102) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61224 a prime number?
No. 61224 = × 3 × 2551, so it is divisible by 2.
What are the factors of 61224?
1, 2, 3, 4, 6, 8, 12, 24, 2551, 5102, 7653, 10204, 15306, 20408, 30612, 61224.
What is 61224 in binary?
1110111100101000 (hexadecimal EF28, octal 167450).
What is the square root of 61224?
About 247.4348, exactly 2√15306.
Is 61224 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 61224?
It is a composite number with 16 divisors.