The number 5076
5076 is a composite number with 24 divisors. Its prime factorisation is × × 47. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188 … 5076.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5076: a Harshad number: divisible by its digit sum 18.
- 2
5076 is composite. Its prime factorisation is
- 3
The divisors add up to 13440; without 5076 itself that is 8364, so 5076 is abundant (8364 is more than 5076). Euler's totient φ(5076) = 1656 numbers up to 5076 share no factor with it.
- 4
The digits of 5076 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5076 = 2^{2} \times 3^{3} \times 47 \]5076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 13440 |
| Euler totient φ(n) | 1656 |
| Square | 25765776 |
| Cube | 130787078976 |
| Square root | 71.246053 (= 6√141) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.076 × |
5076 in other forms
| Form | Value |
|---|---|
| In words | five thousand and seventy-six |
| Binary (base 2) | 1001111010100 |
| Octal (base 8) | 11724 |
| Hexadecimal (base 16) | 13D4 |
| Base 3 | 20222000 |
| As time | 5076 seconds = 1 h 24 min 36 s |
Is 5076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5076 ÷ 2 = 2538) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5076 ÷ 3 = 1692) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5076 ÷ 4 = 1269) | 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 (5076 ÷ 6 = 846) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (5076 ÷ 9 = 564) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5076 ÷ 12 = 423) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5076 a prime number?
No. 5076 = × × 47, so it is divisible by 2.
What are the factors of 5076?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076.
What is 5076 in binary?
1001111010100 (hexadecimal 13D4, octal 11724).
What is the square root of 5076?
About 71.2461, exactly 6√141.
Is 5076 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5076?
5076 is a Harshad number: divisible by its digit sum 18.