The number 39013
39013 is a composite number with 4 divisors. Its prime factorisation is 13 × 3001. Divisors (4): 1, 13, 3001, 39013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39013: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 3001, the product of two primes.
- 2
39013 is composite. Its prime factorisation is
- 3
The divisors add up to 42028; without 39013 itself that is 3015, so 39013 is deficient (3015 is less than 39013). Euler's totient φ(39013) = 36000 numbers up to 39013 share no factor with it.
- 4
The digits of 39013 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 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39013 = 13 \times 3001 \]
39013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 42028 |
| Euler totient φ(n) | 36000 |
| Square | 1522014169 |
| Cube | 59378338775197 |
| Square root | 197.517088 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.9013 × |
39013 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand and thirteen |
| Binary (base 2) | 1001100001100101 |
| Octal (base 8) | 114145 |
| Hexadecimal (base 16) | 9865 |
| Base 3 | 1222111221 |
| As time | 39013 seconds = 10 h 50 min 13 s |
Is 39013 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 2) | 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 7) | 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 39013 a prime number?
No. 39013 = 13 × 3001, so it is divisible by 13.
What are the factors of 39013?
1, 13, 3001, 39013.
What is 39013 in binary?
1001100001100101 (hexadecimal 9865, octal 114145).
What is the square root of 39013?
About 197.5171.
Is 39013 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 39013?
39013 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 3001, the product of two primes.