The number 60021
60021 is a composite number with 24 divisors. Its prime factorisation is × 13 × 19. Divisors (24): 1, 3, 9, 13, 19, 27, 39, 57, 81, 117, 171, 243, 247, 351, 513, 741 … 60021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60021: a Harshad number: divisible by its digit sum 9.
- 2
60021 is composite. Its prime factorisation is
- 3
The divisors add up to 101920; without 60021 itself that is 41899, so 60021 is deficient (41899 is less than 60021). Euler's totient φ(60021) = 34992 numbers up to 60021 share no factor with it.
- 4
The digits of 60021 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60021 = 3^{5} \times 13 \times 19 \]60021 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 101920 |
| Euler totient φ(n) | 34992 |
| Square | 3602520441 |
| Cube | 216226879389261 |
| Square root | 244.991837 (= 9√741) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 6.0021 × |
60021 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and twenty-one |
| Binary (base 2) | 1110101001110101 |
| Octal (base 8) | 165165 |
| Hexadecimal (base 16) | EA75 |
| Base 3 | 10001100000 |
| As time | 60021 seconds = 16 h 40 min 21 s |
Is 60021 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 (60021 ÷ 3 = 20007) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (60021 ÷ 9 = 6669) | 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 5) | 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 60021 a prime number?
No. 60021 = × 13 × 19, so it is divisible by 3.
What are the factors of 60021?
1, 3, 9, 13, 19, 27, 39, 57, 81, 117, 171, 243, 247, 351, 513, 741, 1053, 1539, 2223, 3159, 4617, 6669, 20007, 60021.
What is 60021 in binary?
1110101001110101 (hexadecimal EA75, octal 165165).
What is the square root of 60021?
About 244.9918, exactly 9√741.
Is 60021 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 60021?
60021 is a Harshad number: divisible by its digit sum 9.