The number 40722
40722 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 617. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 617, 1234, 1851, 3702, 6787, 13574, 20361, 40722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40722 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40722 is composite. Its prime factorisation is
- 3
The divisors add up to 88992; without 40722 itself that is 48270, so 40722 is abundant (48270 is more than 40722). Euler's totient φ(40722) = 12320 numbers up to 40722 share no factor with it.
- 4
The digits of 40722 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40722 = 2 \times 3 \times 11 \times 617 \]
40722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 88992 |
| Euler totient φ(n) | 12320 |
| Square | 1658281284 |
| Cube | 67528530447048 |
| Square root | 201.796928 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0722 × |
40722 in other forms
| Form | Value |
|---|---|
| In words | forty thousand seven hundred and twenty-two |
| Binary (base 2) | 1001111100010010 |
| Octal (base 8) | 117422 |
| Hexadecimal (base 16) | 9F12 |
| Base 3 | 2001212020 |
| As time | 40722 seconds = 11 h 18 min 42 s |
Is 40722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40722 ÷ 2 = 20361) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40722 ÷ 3 = 13574) | 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 (40722 ÷ 6 = 6787) | 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 | No (remainder 6) | 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 | Yes (40722 ÷ 11 = 3702) | 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 40722 a prime number?
No. 40722 = 2 × 3 × 11 × 617, so it is divisible by 2.
What are the factors of 40722?
1, 2, 3, 6, 11, 22, 33, 66, 617, 1234, 1851, 3702, 6787, 13574, 20361, 40722.
What is 40722 in binary?
1001111100010010 (hexadecimal 9F12, octal 117422).
What is the square root of 40722?
About 201.7969.
Is 40722 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40722?
It is a composite number with 16 divisors.