The number 15011
15011 is a composite number with 4 divisors. Its prime factorisation is 17 × 883. Divisors (4): 1, 17, 883, 15011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15011: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 883, the product of two primes.
- 2
15011 is composite. Its prime factorisation is
- 3
The divisors add up to 15912; without 15011 itself that is 901, so 15011 is deficient (901 is less than 15011). Euler's totient φ(15011) = 14112 numbers up to 15011 share no factor with it.
- 4
The digits of 15011 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 177 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15011 = 17 \times 883 \]
15011 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 15912 |
| Euler totient φ(n) | 14112 |
| Square | 225330121 |
| Cube | 3382430446331 |
| Square root | 122.519386 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 177 |
| Scientific notation | 1.5011 × |
15011 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and eleven |
| Binary (base 2) | 11101010100011 |
| Octal (base 8) | 35243 |
| Hexadecimal (base 16) | 3AA3 |
| Base 3 | 202120222 |
| As time | 15011 seconds = 4 h 10 min 11 s |
Is 15011 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15011 a prime number?
No. 15011 = 17 × 883, so it is divisible by 17.
What are the factors of 15011?
1, 17, 883, 15011.
What is 15011 in binary?
11101010100011 (hexadecimal 3AA3, octal 35243).
What is the square root of 15011?
About 122.5194.
Is 15011 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 15011?
15011 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 883, the product of two primes.