The number 46722
46722 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 599. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 599, 1198, 1797, 3594, 7787, 15574, 23361, 46722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46722: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46722 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 46722 itself that is 54078, so 46722 is abundant (54078 is more than 46722). Euler's totient φ(46722) = 14352 numbers up to 46722 share no factor with it.
- 4
The digits of 46722 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46722 = 2 \times 3 \times 13 \times 599 \]
46722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 14352 |
| Square | 2182945284 |
| Cube | 101991569559048 |
| Square root | 216.152724 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.6722 × |
46722 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and twenty-two |
| Binary (base 2) | 1011011010000010 |
| Octal (base 8) | 133202 |
| Hexadecimal (base 16) | B682 |
| Base 3 | 2101002110 |
| As time | 46722 seconds = 12 h 58 min 42 s |
Is 46722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46722 ÷ 2 = 23361) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46722 ÷ 3 = 15574) | 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 (46722 ÷ 6 = 7787) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | 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 46722 a prime number?
No. 46722 = 2 × 3 × 13 × 599, so it is divisible by 2.
What are the factors of 46722?
1, 2, 3, 6, 13, 26, 39, 78, 599, 1198, 1797, 3594, 7787, 15574, 23361, 46722.
What is 46722 in binary?
1011011010000010 (hexadecimal B682, octal 133202).
What is the square root of 46722?
About 216.1527.
Is 46722 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 46722?
46722 is a happy number: repeatedly adding the squares of its digits reaches 1.