The number 61722
61722 is a composite number with 24 divisors. Its prime factorisation is 2 × × 127. Divisors (24): 1, 2, 3, 6, 9, 18, 27, 54, 81, 127, 162, 243, 254, 381, 486, 762 … 61722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61722: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
61722 is composite. Its prime factorisation is
- 3
The divisors add up to 139776; without 61722 itself that is 78054, so 61722 is abundant (78054 is more than 61722). Euler's totient φ(61722) = 20412 numbers up to 61722 share no factor with it.
- 4
The digits of 61722 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61722 = 2 \times 3^{5} \times 127 \]61722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 139776 |
| Euler totient φ(n) | 20412 |
| Square | 3809605284 |
| Cube | 235136457339048 |
| Square root | 248.439127 (= 9√762) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.1722 × |
61722 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand seven hundred and twenty-two |
| Binary (base 2) | 1111000100011010 |
| Octal (base 8) | 170432 |
| Hexadecimal (base 16) | F11A |
| Base 3 | 10010200000 |
| As time | 61722 seconds = 17 h 8 min 42 s |
Is 61722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61722 ÷ 2 = 30861) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61722 ÷ 3 = 20574) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (61722 ÷ 6 = 10287) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (61722 ÷ 9 = 6858) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61722 a prime number?
No. 61722 = 2 × × 127, so it is divisible by 2.
What are the factors of 61722?
1, 2, 3, 6, 9, 18, 27, 54, 81, 127, 162, 243, 254, 381, 486, 762, 1143, 2286, 3429, 6858, 10287, 20574, 30861, 61722.
What is 61722 in binary?
1111000100011010 (hexadecimal F11A, octal 170432).
What is the square root of 61722?
About 248.4391, exactly 9√762.
Is 61722 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 61722?
61722 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.