The number 10062
10062 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 43. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258 … 10062.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10062: a Harshad number: divisible by its digit sum 9.
- 2
10062 is composite. Its prime factorisation is
- 3
The divisors add up to 24024; without 10062 itself that is 13962, so 10062 is abundant (13962 is more than 10062). Euler's totient φ(10062) = 3024 numbers up to 10062 share no factor with it.
- 4
The digits of 10062 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10062 = 2 \times 3^{2} \times 13 \times 43 \]10062 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 24024 |
| Euler totient φ(n) | 3024 |
| Square | 101243844 |
| Cube | 1018715558328 |
| Square root | 100.309521 (= 3√1118) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 117 |
| Scientific notation | 1.0062 × |
10062 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and sixty-two |
| Binary (base 2) | 10011101001110 |
| Octal (base 8) | 23516 |
| Hexadecimal (base 16) | 274E |
| Base 3 | 111210200 |
| As time | 10062 seconds = 2 h 47 min 42 s |
Is 10062 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10062 ÷ 2 = 5031) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10062 ÷ 3 = 3354) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (10062 ÷ 6 = 1677) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (10062 ÷ 9 = 1118) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10062 a prime number?
No. 10062 = 2 × × 13 × 43, so it is divisible by 2.
What are the factors of 10062?
1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062.
What is 10062 in binary?
10011101001110 (hexadecimal 274E, octal 23516).
What is the square root of 10062?
About 100.3095, exactly 3√1118.
Is 10062 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 10062?
10062 is a Harshad number: divisible by its digit sum 9.