The number 66013
66013 is a composite number with 4 divisors. Its prime factorisation is 251 × 263. Divisors (4): 1, 251, 263, 66013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 66013: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 251 × 263, the product of two primes.
- 2
66013 is composite. Its prime factorisation is
- 3
The divisors add up to 66528; without 66013 itself that is 515, so 66013 is deficient (515 is less than 66013). Euler's totient φ(66013) = 65500 numbers up to 66013 share no factor with it.
- 4
The digits of 66013 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 66013 = 251 \times 263 \]
66013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 66528 |
| Euler totient φ(n) | 65500 |
| Square | 4357716169 |
| Cube | 287665917464197 |
| Square root | 256.929952 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.6013 × |
66013 in other forms
| Form | Value |
|---|---|
| In words | sixty-six thousand and thirteen |
| Binary (base 2) | 10000000111011101 |
| Octal (base 8) | 200735 |
| Hexadecimal (base 16) | 101DD |
| Base 3 | 10100112221 |
| As time | 66013 seconds = 18 h 20 min 13 s |
Is 66013 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 | No (remainder 1) | 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 1) | 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 | No (remainder 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 66013 a prime number?
No. 66013 = 251 × 263, so it is divisible by 251.
What are the factors of 66013?
1, 251, 263, 66013.
What is 66013 in binary?
10000000111011101 (hexadecimal 101DD, octal 200735).
What is the square root of 66013?
About 256.9300.
Is 66013 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 66013?
66013 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 251 × 263, the product of two primes.