The number 61696
61696 is a composite number with 18 divisors. Its prime factorisation is × 241. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 128, 241, 256, 482, 964, 1928, 3856, 7712, 15424 … 61696.
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How to work it out
- 1
What is special about 61696: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
61696 is composite. Its prime factorisation is
- 3
The divisors add up to 123662; without 61696 itself that is 61966, so 61696 is abundant (61966 is more than 61696). Euler's totient φ(61696) = 30720 numbers up to 61696 share no factor with it.
- 4
The digits of 61696 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61696 = 2^{8} \times 241 \]61696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 123662 |
| Euler totient φ(n) | 30720 |
| Square | 3806396416 |
| Cube | 234839433281536 |
| Square root | 248.386795 (= 16√241) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 29 |
| Scientific notation | 6.1696 × |
61696 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand six hundred and ninety-six |
| Binary (base 2) | 1111000100000000 |
| Octal (base 8) | 170400 |
| Hexadecimal (base 16) | F100 |
| Base 3 | 10010122001 |
| As time | 61696 seconds = 17 h 8 min 16 s |
Is 61696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61696 ÷ 2 = 30848) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61696 ÷ 4 = 15424) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (61696 ÷ 8 = 7712) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61696 a prime number?
No. 61696 = × 241, so it is divisible by 2.
What are the factors of 61696?
1, 2, 4, 8, 16, 32, 64, 128, 241, 256, 482, 964, 1928, 3856, 7712, 15424, 30848, 61696.
What is 61696 in binary?
1111000100000000 (hexadecimal F100, octal 170400).
What is the square root of 61696?
About 248.3868, exactly 16√241.
Is 61696 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 61696?
61696 is a happy number: repeatedly adding the squares of its digits reaches 1.