The number 61668
61668 is a composite number with 24 divisors. Its prime factorisation is × × 571. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 571, 1142, 1713, 2284 … 61668.
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How to work it out
- 1
What is special about 61668: a Harshad number: divisible by its digit sum 27.
- 2
61668 is composite. Its prime factorisation is
- 3
The divisors add up to 160160; without 61668 itself that is 98492, so 61668 is abundant (98492 is more than 61668). Euler's totient φ(61668) = 20520 numbers up to 61668 share no factor with it.
- 4
The digits of 61668 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61668 = 2^{2} \times 3^{3} \times 571 \]61668 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 160160 |
| Euler totient φ(n) | 20520 |
| Square | 3802942224 |
| Cube | 234519841069632 |
| Square root | 248.330425 (= 6√1713) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.1668 × |
61668 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand six hundred and sixty-eight |
| Binary (base 2) | 1111000011100100 |
| Octal (base 8) | 170344 |
| Hexadecimal (base 16) | F0E4 |
| Base 3 | 10010121000 |
| As time | 61668 seconds = 17 h 7 min 48 s |
Is 61668 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61668 ÷ 2 = 30834) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61668 ÷ 3 = 20556) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61668 ÷ 4 = 15417) | 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 (61668 ÷ 6 = 10278) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61668 ÷ 9 = 6852) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61668 ÷ 12 = 5139) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61668 a prime number?
No. 61668 = × × 571, so it is divisible by 2.
What are the factors of 61668?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 571, 1142, 1713, 2284, 3426, 5139, 6852, 10278, 15417, 20556, 30834, 61668.
What is 61668 in binary?
1111000011100100 (hexadecimal F0E4, octal 170344).
What is the square root of 61668?
About 248.3304, exactly 6√1713.
Is 61668 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 61668?
61668 is a Harshad number: divisible by its digit sum 27.