The number 61074
61074 is a composite number with 40 divisors. Its prime factorisation is 2 × × 13 × 29. Divisors (40): 1, 2, 3, 6, 9, 13, 18, 26, 27, 29, 39, 54, 58, 78, 81, 87 … 61074.
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How to work it out
- 1
What is special about 61074: a Harshad number: divisible by its digit sum 18.
- 2
61074 is composite. Its prime factorisation is
- 3
The divisors add up to 152460; without 61074 itself that is 91386, so 61074 is abundant (91386 is more than 61074). Euler's totient φ(61074) = 18144 numbers up to 61074 share no factor with it.
- 4
The digits of 61074 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61074 = 2 \times 3^{4} \times 13 \times 29 \]61074 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 152460 |
| Euler totient φ(n) | 18144 |
| Square | 3730033476 |
| Cube | 227808064513224 |
| Square root | 247.131544 (= 9√754) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.1074 × |
61074 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand and seventy-four |
| Binary (base 2) | 1110111010010010 |
| Octal (base 8) | 167222 |
| Hexadecimal (base 16) | EE92 |
| Base 3 | 10002210000 |
| As time | 61074 seconds = 16 h 57 min 54 s |
Is 61074 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61074 ÷ 2 = 30537) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61074 ÷ 3 = 20358) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (61074 ÷ 6 = 10179) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61074 ÷ 9 = 6786) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61074 a prime number?
No. 61074 = 2 × × 13 × 29, so it is divisible by 2.
What are the factors of 61074?
1, 2, 3, 6, 9, 13, 18, 26, 27, 29, 39, 54, 58, 78, 81, 87, 117, 162, 174, 234, 261, 351, 377, 522, 702, 754, 783, 1053, 1131, 1566, 2106, 2262, 2349, 3393, 4698, 6786, 10179, 20358, 30537, 61074.
What is 61074 in binary?
1110111010010010 (hexadecimal EE92, octal 167222).
What is the square root of 61074?
About 247.1315, exactly 9√754.
Is 61074 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61074?
61074 is a Harshad number: divisible by its digit sum 18.