The number 61688
61688 is a composite number with 16 divisors. Its prime factorisation is × 11 × 701. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 701, 1402, 2804, 5608, 7711, 15422, 30844, 61688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61688 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61688 is composite. Its prime factorisation is
- 3
The divisors add up to 126360; without 61688 itself that is 64672, so 61688 is abundant (64672 is more than 61688). Euler's totient φ(61688) = 28000 numbers up to 61688 share no factor with it.
- 4
The digits of 61688 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61688 = 2^{3} \times 11 \times 701 \]61688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 126360 |
| Euler totient φ(n) | 28000 |
| Square | 3805409344 |
| Cube | 234748091612672 |
| Square root | 248.370691 (= 2√15422) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.1688 × |
61688 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand six hundred and eighty-eight |
| Binary (base 2) | 1111000011111000 |
| Octal (base 8) | 170370 |
| Hexadecimal (base 16) | F0F8 |
| Base 3 | 10010121202 |
| As time | 61688 seconds = 17 h 8 min 8 s |
Is 61688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61688 ÷ 2 = 30844) | 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 (61688 ÷ 4 = 15422) | 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 4) | 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 (61688 ÷ 8 = 7711) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (61688 ÷ 11 = 5608) | 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 61688 a prime number?
No. 61688 = × 11 × 701, so it is divisible by 2.
What are the factors of 61688?
1, 2, 4, 8, 11, 22, 44, 88, 701, 1402, 2804, 5608, 7711, 15422, 30844, 61688.
What is 61688 in binary?
1111000011111000 (hexadecimal F0F8, octal 170370).
What is the square root of 61688?
About 248.3707, exactly 2√15422.
Is 61688 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 61688?
It is a composite number with 16 divisors.