The number 13501
13501 is a composite number with 4 divisors. Its prime factorisation is 23 × 587. Divisors (4): 1, 23, 587, 13501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13501: a semiprime: 23 × 587, the product of two primes.
- 2
13501 is composite. Its prime factorisation is
- 3
The divisors add up to 14112; without 13501 itself that is 611, so 13501 is deficient (611 is less than 13501). Euler's totient φ(13501) = 12892 numbers up to 13501 share no factor with it.
- 4
The digits of 13501 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13501 = 23 \times 587 \]
13501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14112 |
| Euler totient φ(n) | 12892 |
| Square | 182277001 |
| Cube | 2460921790501 |
| Square root | 116.193804 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3501 × |
13501 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and one |
| Binary (base 2) | 11010010111101 |
| Octal (base 8) | 32275 |
| Hexadecimal (base 16) | 34BD |
| Base 3 | 200112001 |
| As time | 13501 seconds = 3 h 45 min 1 s |
Is 13501 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 1) | 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 5) | 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 1) | 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 4) | 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 13501 a prime number?
No. 13501 = 23 × 587, so it is divisible by 23.
What are the factors of 13501?
1, 23, 587, 13501.
What is 13501 in binary?
11010010111101 (hexadecimal 34BD, octal 32275).
What is the square root of 13501?
About 116.1938.
Is 13501 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13501?
13501 is a semiprime: 23 × 587, the product of two primes.