The number 83722
83722 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 1021. Divisors (8): 1, 2, 41, 82, 1021, 2042, 41861, 83722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83722: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
83722 is composite. Its prime factorisation is
- 3
The divisors add up to 128772; without 83722 itself that is 45050, so 83722 is deficient (45050 is less than 83722). Euler's totient φ(83722) = 40800 numbers up to 83722 share no factor with it.
- 4
The digits of 83722 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83722 = 2 \times 41 \times 1021 \]
83722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 128772 |
| Euler totient φ(n) | 40800 |
| Square | 7009373284 |
| Cube | 586838750083048 |
| Square root | 289.347542 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.3722 × |
83722 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand seven hundred and twenty-two |
| Binary (base 2) | 10100011100001010 |
| Octal (base 8) | 243412 |
| Hexadecimal (base 16) | 1470A |
| Base 3 | 11020211211 |
| As time | 83722 seconds = 23 h 15 min 22 s |
Is 83722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83722 ÷ 2 = 41861) | 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 | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 4) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83722 a prime number?
No. 83722 = 2 × 41 × 1021, so it is divisible by 2.
What are the factors of 83722?
1, 2, 41, 82, 1021, 2042, 41861, 83722.
What is 83722 in binary?
10100011100001010 (hexadecimal 1470A, octal 243412).
What is the square root of 83722?
About 289.3475.
Is 83722 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 83722?
83722 is a happy number: repeatedly adding the squares of its digits reaches 1.