The number 10060
10060 is a composite number with 12 divisors. Its prime factorisation is × 5 × 503. Divisors (12): 1, 2, 4, 5, 10, 20, 503, 1006, 2012, 2515, 5030, 10060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10060 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10060 is composite. Its prime factorisation is
- 3
The divisors add up to 21168; without 10060 itself that is 11108, so 10060 is abundant (11108 is more than 10060). Euler's totient φ(10060) = 4016 numbers up to 10060 share no factor with it.
- 4
The digits of 10060 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10060 = 2^{2} \times 5 \times 503 \]10060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 21168 |
| Euler totient φ(n) | 4016 |
| Square | 101203600 |
| Cube | 1018108216000 |
| Square root | 100.299551 (= 2√2515) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.006 × |
10060 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and sixty |
| Binary (base 2) | 10011101001100 |
| Octal (base 8) | 23514 |
| Hexadecimal (base 16) | 274C |
| Base 3 | 111210121 |
| As time | 10060 seconds = 2 h 47 min 40 s |
Is 10060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10060 ÷ 2 = 5030) | 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 (10060 ÷ 4 = 2515) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (10060 ÷ 5 = 2012) | 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 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 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (10060 ÷ 10 = 1006) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10060 a prime number?
No. 10060 = × 5 × 503, so it is divisible by 2.
What are the factors of 10060?
1, 2, 4, 5, 10, 20, 503, 1006, 2012, 2515, 5030, 10060.
What is 10060 in binary?
10011101001100 (hexadecimal 274C, octal 23514).
What is the square root of 10060?
About 100.2996, exactly 2√2515.
Is 10060 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 10060?
It is a composite number with 12 divisors.