The number 5016
5016 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 19. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 19, 22, 24, 33, 38, 44, 57, 66 … 5016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5016: a Harshad number: divisible by its digit sum 12.
- 2
5016 is composite. Its prime factorisation is
- 3
The divisors add up to 14400; without 5016 itself that is 9384, so 5016 is abundant (9384 is more than 5016). Euler's totient φ(5016) = 1440 numbers up to 5016 share no factor with it.
- 4
The digits of 5016 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5016 = 2^{3} \times 3 \times 11 \times 19 \]5016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 14400 |
| Euler totient φ(n) | 1440 |
| Square | 25160256 |
| Cube | 126203844096 |
| Square root | 70.823725 (= 2√1254) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 134 |
| Scientific notation | 5.016 × |
5016 in other forms
| Form | Value |
|---|---|
| In words | five thousand and sixteen |
| Binary (base 2) | 1001110011000 |
| Octal (base 8) | 11630 |
| Hexadecimal (base 16) | 1398 |
| Base 3 | 20212210 |
| As time | 5016 seconds = 1 h 23 min 36 s |
Is 5016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5016 ÷ 2 = 2508) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5016 ÷ 3 = 1672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5016 ÷ 4 = 1254) | 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 | Yes (5016 ÷ 6 = 836) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (5016 ÷ 8 = 627) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (5016 ÷ 11 = 456) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5016 ÷ 12 = 418) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5016 a prime number?
No. 5016 = × 3 × 11 × 19, so it is divisible by 2.
What are the factors of 5016?
1, 2, 3, 4, 6, 8, 11, 12, 19, 22, 24, 33, 38, 44, 57, 66, 76, 88, 114, 132, 152, 209, 228, 264, 418, 456, 627, 836, 1254, 1672, 2508, 5016.
What is 5016 in binary?
1001110011000 (hexadecimal 1398, octal 11630).
What is the square root of 5016?
About 70.8237, exactly 2√1254.
Is 5016 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 5016?
5016 is a Harshad number: divisible by its digit sum 12.