The number 61712
61712 is a composite number with 40 divisors. Its prime factorisation is × 7 × 19 × 29. Divisors (40): 1, 2, 4, 7, 8, 14, 16, 19, 28, 29, 38, 56, 58, 76, 112, 116 … 61712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61712: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
61712 is composite. Its prime factorisation is
- 3
The divisors add up to 148800; without 61712 itself that is 87088, so 61712 is abundant (87088 is more than 61712). Euler's totient φ(61712) = 24192 numbers up to 61712 share no factor with it.
- 4
The digits of 61712 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61712 = 2^{4} \times 7 \times 19 \times 29 \]61712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 148800 |
| Euler totient φ(n) | 24192 |
| Square | 3808370944 |
| Cube | 235022187696128 |
| Square root | 248.419001 (= 4√3857) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.1712 × |
61712 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and twelve |
| Binary (base 2) | 1111000100010000 |
| Octal (base 8) | 170420 |
| Hexadecimal (base 16) | F110 |
| Base 3 | 10010122122 |
| As time | 61712 seconds = 17 h 8 min 32 s |
Is 61712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61712 ÷ 2 = 30856) | 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 (61712 ÷ 4 = 15428) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | Yes (61712 ÷ 7 = 8816) | 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 (61712 ÷ 8 = 7714) | 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 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61712 a prime number?
No. 61712 = × 7 × 19 × 29, so it is divisible by 2.
What are the factors of 61712?
1, 2, 4, 7, 8, 14, 16, 19, 28, 29, 38, 56, 58, 76, 112, 116, 133, 152, 203, 232, 266, 304, 406, 464, 532, 551, 812, 1064, 1102, 1624, 2128, 2204, 3248, 3857, 4408, 7714, 8816, 15428, 30856, 61712.
What is 61712 in binary?
1111000100010000 (hexadecimal F110, octal 170420).
What is the square root of 61712?
About 248.4190, exactly 4√3857.
Is 61712 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 61712?
61712 is a happy number: repeatedly adding the squares of its digits reaches 1.