The number 5164
5164 is a composite number with 6 divisors. Its prime factorisation is × 1291. Divisors (6): 1, 2, 4, 1291, 2582, 5164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5164 is composite. Its prime factorisation is
- 3
The divisors add up to 9044; without 5164 itself that is 3880, so 5164 is deficient (3880 is less than 5164). Euler's totient φ(5164) = 2580 numbers up to 5164 share no factor with it.
- 4
The digits of 5164 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5164 = 2^{2} \times 1291 \]5164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 9044 |
| Euler totient φ(n) | 2580 |
| Square | 26666896 |
| Cube | 137707850944 |
| Square root | 71.860977 (= 2√1291) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.164 × |
5164 in other forms
| Form | Value |
|---|---|
| In words | five thousand one hundred and sixty-four |
| Binary (base 2) | 1010000101100 |
| Octal (base 8) | 12054 |
| Hexadecimal (base 16) | 142C |
| Base 3 | 21002021 |
| As time | 5164 seconds = 1 h 26 min 4 s |
Is 5164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5164 ÷ 2 = 2582) | 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 | Yes (5164 ÷ 4 = 1291) | 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 4) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5164 a prime number?
No. 5164 = × 1291, so it is divisible by 2.
What are the factors of 5164?
1, 2, 4, 1291, 2582, 5164.
What is 5164 in binary?
1010000101100 (hexadecimal 142C, octal 12054).
What is the square root of 5164?
About 71.8610, exactly 2√1291.
Is 5164 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5164?
It is a composite number with 6 divisors.