The number 61104
61104 is a composite number with 40 divisors. Its prime factorisation is × 3 × 19 × 67. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 67, 76, 114 … 61104.
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How to work it out
- 1
What is special about 61104: a Harshad number: divisible by its digit sum 12.
- 2
61104 is composite. Its prime factorisation is
- 3
The divisors add up to 168640; without 61104 itself that is 107536, so 61104 is abundant (107536 is more than 61104). Euler's totient φ(61104) = 19008 numbers up to 61104 share no factor with it.
- 4
The digits of 61104 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61104 = 2^{4} \times 3 \times 19 \times 67 \]61104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 168640 |
| Euler totient φ(n) | 19008 |
| Square | 3733698816 |
| Cube | 228143932452864 |
| Square root | 247.192233 (= 4√3819) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 34 |
| Scientific notation | 6.1104 × |
61104 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand one hundred and four |
| Binary (base 2) | 1110111010110000 |
| Octal (base 8) | 167260 |
| Hexadecimal (base 16) | EEB0 |
| Base 3 | 10002211010 |
| As time | 61104 seconds = 16 h 58 min 24 s |
Is 61104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61104 ÷ 2 = 30552) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61104 ÷ 3 = 20368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61104 ÷ 4 = 15276) | 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 (61104 ÷ 6 = 10184) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (61104 ÷ 8 = 7638) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61104 ÷ 12 = 5092) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61104 a prime number?
No. 61104 = × 3 × 19 × 67, so it is divisible by 2.
What are the factors of 61104?
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 67, 76, 114, 134, 152, 201, 228, 268, 304, 402, 456, 536, 804, 912, 1072, 1273, 1608, 2546, 3216, 3819, 5092, 7638, 10184, 15276, 20368, 30552, 61104.
What is 61104 in binary?
1110111010110000 (hexadecimal EEB0, octal 167260).
What is the square root of 61104?
About 247.1922, exactly 4√3819.
Is 61104 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 61104?
61104 is a Harshad number: divisible by its digit sum 12.