The number 61772
61772 is a composite number with 6 divisors. Its prime factorisation is × 15443. Divisors (6): 1, 2, 4, 15443, 30886, 61772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61772: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
61772 is composite. Its prime factorisation is
- 3
The divisors add up to 108108; without 61772 itself that is 46336, so 61772 is deficient (46336 is less than 61772). Euler's totient φ(61772) = 30884 numbers up to 61772 share no factor with it.
- 4
The digits of 61772 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61772 = 2^{2} \times 15443 \]61772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 108108 |
| Euler totient φ(n) | 30884 |
| Square | 3815779984 |
| Cube | 235708361171648 |
| Square root | 248.539735 (= 2√15443) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.1772 × |
61772 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and seventy-two |
| Binary (base 2) | 1111000101001100 |
| Octal (base 8) | 170514 |
| Hexadecimal (base 16) | F14C |
| Base 3 | 10010201212 |
| As time | 61772 seconds = 17 h 9 min 32 s |
Is 61772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61772 ÷ 2 = 30886) | 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 (61772 ÷ 4 = 15443) | 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 | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | 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 61772 a prime number?
No. 61772 = × 15443, so it is divisible by 2.
What are the factors of 61772?
1, 2, 4, 15443, 30886, 61772.
What is 61772 in binary?
1111000101001100 (hexadecimal F14C, octal 170514).
What is the square root of 61772?
About 248.5397, exactly 2√15443.
Is 61772 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 61772?
61772 is a happy number: repeatedly adding the squares of its digits reaches 1.