The number 62721
62721 is a composite number with 16 divisors. Its prime factorisation is × 23 × 101. Divisors (16): 1, 3, 9, 23, 27, 69, 101, 207, 303, 621, 909, 2323, 2727, 6969, 20907, 62721.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 62721: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
62721 is composite. Its prime factorisation is
- 3
The divisors add up to 97920; without 62721 itself that is 35199, so 62721 is deficient (35199 is less than 62721). Euler's totient φ(62721) = 39600 numbers up to 62721 share no factor with it.
- 4
The digits of 62721 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62721 = 3^{3} \times 23 \times 101 \]62721 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 97920 |
| Euler totient φ(n) | 39600 |
| Square | 3933923841 |
| Cube | 246739637231361 |
| Square root | 250.441610 (= 3√6969) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.2721 × |
62721 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand seven hundred and twenty-one |
| Binary (base 2) | 1111010100000001 |
| Octal (base 8) | 172401 |
| Hexadecimal (base 16) | F501 |
| Base 3 | 10012001000 |
| As time | 62721 seconds = 17 h 25 min 21 s |
Is 62721 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (62721 ÷ 3 = 20907) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (62721 ÷ 9 = 6969) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 62721 a prime number?
No. 62721 = × 23 × 101, so it is divisible by 3.
What are the factors of 62721?
1, 3, 9, 23, 27, 69, 101, 207, 303, 621, 909, 2323, 2727, 6969, 20907, 62721.
What is 62721 in binary?
1111010100000001 (hexadecimal F501, octal 172401).
What is the square root of 62721?
About 250.4416, exactly 3√6969.
Is 62721 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 62721?
62721 is a happy number: repeatedly adding the squares of its digits reaches 1.