The number 61064
61064 is a composite number with 16 divisors. Its prime factorisation is × 17 × 449. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 136, 449, 898, 1796, 3592, 7633, 15266, 30532, 61064.
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How to work it out
- 1
What is special about 61064: a Harshad number: divisible by its digit sum 17.
- 2
61064 is composite. Its prime factorisation is
- 3
The divisors add up to 121500; without 61064 itself that is 60436, so 61064 is deficient (60436 is less than 61064). Euler's totient φ(61064) = 28672 numbers up to 61064 share no factor with it.
- 4
The digits of 61064 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61064 = 2^{3} \times 17 \times 449 \]61064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 121500 |
| Euler totient φ(n) | 28672 |
| Square | 3728812096 |
| Cube | 227696181830144 |
| Square root | 247.111311 (= 2√15266) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 34 |
| Scientific notation | 6.1064 × |
61064 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand and sixty-four |
| Binary (base 2) | 1110111010001000 |
| Octal (base 8) | 167210 |
| Hexadecimal (base 16) | EE88 |
| Base 3 | 10002202122 |
| As time | 61064 seconds = 16 h 57 min 44 s |
Is 61064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61064 ÷ 2 = 30532) | 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 (61064 ÷ 4 = 15266) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (61064 ÷ 8 = 7633) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | 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 61064 a prime number?
No. 61064 = × 17 × 449, so it is divisible by 2.
What are the factors of 61064?
1, 2, 4, 8, 17, 34, 68, 136, 449, 898, 1796, 3592, 7633, 15266, 30532, 61064.
What is 61064 in binary?
1110111010001000 (hexadecimal EE88, octal 167210).
What is the square root of 61064?
About 247.1113, exactly 2√15266.
Is 61064 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 61064?
61064 is a Harshad number: divisible by its digit sum 17.