The number 61128
61128 is a composite number with 32 divisors. Its prime factorisation is × × 283. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216 … 61128.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61128: a Harshad number: divisible by its digit sum 18.
- 2
61128 is composite. Its prime factorisation is
- 3
The divisors add up to 170400; without 61128 itself that is 109272, so 61128 is abundant (109272 is more than 61128). Euler's totient φ(61128) = 20304 numbers up to 61128 share no factor with it.
- 4
The digits of 61128 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 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61128 = 2^{3} \times 3^{3} \times 283 \]61128 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 170400 |
| Euler totient φ(n) | 20304 |
| Square | 3736632384 |
| Cube | 228412864369152 |
| Square root | 247.240773 (= 6√1698) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 34 |
| Scientific notation | 6.1128 × |
61128 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand one hundred and twenty-eight |
| Binary (base 2) | 1110111011001000 |
| Octal (base 8) | 167310 |
| Hexadecimal (base 16) | EEC8 |
| Base 3 | 10002212000 |
| As time | 61128 seconds = 16 h 58 min 48 s |
Is 61128 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61128 ÷ 2 = 30564) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61128 ÷ 3 = 20376) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61128 ÷ 4 = 15282) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (61128 ÷ 6 = 10188) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (61128 ÷ 8 = 7641) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61128 ÷ 9 = 6792) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61128 ÷ 12 = 5094) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61128 a prime number?
No. 61128 = × × 283, so it is divisible by 2.
What are the factors of 61128?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 283, 566, 849, 1132, 1698, 2264, 2547, 3396, 5094, 6792, 7641, 10188, 15282, 20376, 30564, 61128.
What is 61128 in binary?
1110111011001000 (hexadecimal EEC8, octal 167310).
What is the square root of 61128?
About 247.2408, exactly 6√1698.
Is 61128 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61128?
61128 is a Harshad number: divisible by its digit sum 18.