The number 61088
61088 is a composite number with 24 divisors. Its prime factorisation is × 23 × 83. Divisors (24): 1, 2, 4, 8, 16, 23, 32, 46, 83, 92, 166, 184, 332, 368, 664, 736 … 61088.
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How to work it out
- 1
What is special about 61088: a Harshad number: divisible by its digit sum 23.
- 2
61088 is composite. Its prime factorisation is
- 3
The divisors add up to 127008; without 61088 itself that is 65920, so 61088 is abundant (65920 is more than 61088). Euler's totient φ(61088) = 28864 numbers up to 61088 share no factor with it.
- 4
The digits of 61088 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61088 = 2^{5} \times 23 \times 83 \]61088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 127008 |
| Euler totient φ(n) | 28864 |
| Square | 3731743744 |
| Cube | 227964761833472 |
| Square root | 247.159867 (= 4√3818) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.1088 × |
61088 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand and eighty-eight |
| Binary (base 2) | 1110111010100000 |
| Octal (base 8) | 167240 |
| Hexadecimal (base 16) | EEA0 |
| Base 3 | 10002210112 |
| As time | 61088 seconds = 16 h 58 min 8 s |
Is 61088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61088 ÷ 2 = 30544) | 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 (61088 ÷ 4 = 15272) | 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 | 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 (61088 ÷ 8 = 7636) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 5) | 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 61088 a prime number?
No. 61088 = × 23 × 83, so it is divisible by 2.
What are the factors of 61088?
1, 2, 4, 8, 16, 23, 32, 46, 83, 92, 166, 184, 332, 368, 664, 736, 1328, 1909, 2656, 3818, 7636, 15272, 30544, 61088.
What is 61088 in binary?
1110111010100000 (hexadecimal EEA0, octal 167240).
What is the square root of 61088?
About 247.1599, exactly 4√3818.
Is 61088 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 61088?
61088 is a Harshad number: divisible by its digit sum 23.