The number 15164
15164 is a composite number with 12 divisors. Its prime factorisation is × 17 × 223. Divisors (12): 1, 2, 4, 17, 34, 68, 223, 446, 892, 3791, 7582, 15164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15164: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
15164 is composite. Its prime factorisation is
- 3
The divisors add up to 28224; without 15164 itself that is 13060, so 15164 is deficient (13060 is less than 15164). Euler's totient φ(15164) = 7104 numbers up to 15164 share no factor with it.
- 4
The digits of 15164 add up to 17, 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
\[ 15164 = 2^{2} \times 17 \times 223 \]15164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 28224 |
| Euler totient φ(n) | 7104 |
| Square | 229946896 |
| Cube | 3486914730944 |
| Square root | 123.142194 (= 2√3791) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 177 |
| Scientific notation | 1.5164 × |
15164 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand one hundred and sixty-four |
| Binary (base 2) | 11101100111100 |
| Octal (base 8) | 35474 |
| Hexadecimal (base 16) | 3B3C |
| Base 3 | 202210122 |
| As time | 15164 seconds = 4 h 12 min 44 s |
Is 15164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15164 ÷ 2 = 7582) | 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 | Yes (15164 ÷ 4 = 3791) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | 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 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15164 a prime number?
No. 15164 = × 17 × 223, so it is divisible by 2.
What are the factors of 15164?
1, 2, 4, 17, 34, 68, 223, 446, 892, 3791, 7582, 15164.
What is 15164 in binary?
11101100111100 (hexadecimal 3B3C, octal 35474).
What is the square root of 15164?
About 123.1422, exactly 2√3791.
Is 15164 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 15164?
15164 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.