The number 95013
95013 is a composite number with 24 divisors. Its prime factorisation is × 17 × 23. Divisors (24): 1, 3, 9, 17, 23, 27, 51, 69, 81, 153, 207, 243, 391, 459, 621, 1173 … 95013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
95013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
95013 is composite. Its prime factorisation is
- 3
The divisors add up to 157248; without 95013 itself that is 62235, so 95013 is deficient (62235 is less than 95013). Euler's totient φ(95013) = 57024 numbers up to 95013 share no factor with it.
- 4
The digits of 95013 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 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 95013 = 3^{5} \times 17 \times 23 \]95013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 157248 |
| Euler totient φ(n) | 57024 |
| Square | 9027470169 |
| Cube | 857727023167197 |
| Square root | 308.241788 (= 9√1173) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 102 |
| Scientific notation | 9.5013 × |
95013 in other forms
| Form | Value |
|---|---|
| In words | ninety-five thousand and thirteen |
| Binary (base 2) | 10111001100100101 |
| Octal (base 8) | 271445 |
| Hexadecimal (base 16) | 17325 |
| Base 3 | 11211100000 |
| As time | 95013 seconds = 26 h 23 min 33 s |
Is 95013 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 (95013 ÷ 3 = 31671) | 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 | 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 | Yes (95013 ÷ 9 = 10557) | 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 95013 a prime number?
No. 95013 = × 17 × 23, so it is divisible by 3.
What are the factors of 95013?
1, 3, 9, 17, 23, 27, 51, 69, 81, 153, 207, 243, 391, 459, 621, 1173, 1377, 1863, 3519, 4131, 5589, 10557, 31671, 95013.
What is 95013 in binary?
10111001100100101 (hexadecimal 17325, octal 271445).
What is the square root of 95013?
About 308.2418, exactly 9√1173.
Is 95013 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 95013?
It is a composite number with 24 divisors.