The number 62013
62013 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2953. Divisors (8): 1, 3, 7, 21, 2953, 8859, 20671, 62013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
62013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
62013 is composite. Its prime factorisation is
- 3
The divisors add up to 94528; without 62013 itself that is 32515, so 62013 is deficient (32515 is less than 62013). Euler's totient φ(62013) = 35424 numbers up to 62013 share no factor with it.
- 4
The digits of 62013 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62013 = 3 \times 7 \times 2953 \]
62013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 94528 |
| Euler totient φ(n) | 35424 |
| Square | 3845612169 |
| Cube | 238477947436197 |
| Square root | 249.024095 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.2013 × |
62013 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand and thirteen |
| Binary (base 2) | 1111001000111101 |
| Octal (base 8) | 171075 |
| Hexadecimal (base 16) | F23D |
| Base 3 | 10011001210 |
| As time | 62013 seconds = 17 h 13 min 33 s |
Is 62013 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 (62013 ÷ 3 = 20671) | 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 3) | 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 | Yes (62013 ÷ 7 = 8859) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 62013 a prime number?
No. 62013 = 3 × 7 × 2953, so it is divisible by 3.
What are the factors of 62013?
1, 3, 7, 21, 2953, 8859, 20671, 62013.
What is 62013 in binary?
1111001000111101 (hexadecimal F23D, octal 171075).
What is the square root of 62013?
About 249.0241.
Is 62013 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 62013?
It is a composite number with 8 divisors.