The number 10076
10076 is a composite number with 12 divisors. Its prime factorisation is × 11 × 229. Divisors (12): 1, 2, 4, 11, 22, 44, 229, 458, 916, 2519, 5038, 10076.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10076: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10076 is composite. Its prime factorisation is
- 3
The divisors add up to 19320; without 10076 itself that is 9244, so 10076 is deficient (9244 is less than 10076). Euler's totient φ(10076) = 4560 numbers up to 10076 share no factor with it.
- 4
The digits of 10076 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10076 = 2^{2} \times 11 \times 229 \]10076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 19320 |
| Euler totient φ(n) | 4560 |
| Square | 101525776 |
| Cube | 1022973718976 |
| Square root | 100.379281 (= 2√2519) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.0076 × |
10076 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and seventy-six |
| Binary (base 2) | 10011101011100 |
| Octal (base 8) | 23534 |
| Hexadecimal (base 16) | 275C |
| Base 3 | 111211012 |
| As time | 10076 seconds = 2 h 47 min 56 s |
Is 10076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10076 ÷ 2 = 5038) | 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 (10076 ÷ 4 = 2519) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 (10076 ÷ 11 = 916) | 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 10076 a prime number?
No. 10076 = × 11 × 229, so it is divisible by 2.
What are the factors of 10076?
1, 2, 4, 11, 22, 44, 229, 458, 916, 2519, 5038, 10076.
What is 10076 in binary?
10011101011100 (hexadecimal 275C, octal 23534).
What is the square root of 10076?
About 100.3793, exactly 2√2519.
Is 10076 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 10076?
10076 is a happy number: repeatedly adding the squares of its digits reaches 1.