The number 10122
10122 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 241. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 241, 482, 723, 1446, 1687, 3374, 5061, 10122.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10122: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 6.
- 2
10122 is composite. Its prime factorisation is
- 3
The divisors add up to 23232; without 10122 itself that is 13110, so 10122 is abundant (13110 is more than 10122). Euler's totient φ(10122) = 2880 numbers up to 10122 share no factor with it.
- 4
The digits of 10122 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10122 = 2 \times 3 \times 7 \times 241 \]
10122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 23232 |
| Euler totient φ(n) | 2880 |
| Square | 102454884 |
| Cube | 1037048335848 |
| Square root | 100.608151 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.0122 × |
10122 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and twenty-two |
| Binary (base 2) | 10011110001010 |
| Octal (base 8) | 23612 |
| Hexadecimal (base 16) | 278A |
| Base 3 | 111212220 |
| As time | 10122 seconds = 2 h 48 min 42 s |
Is 10122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10122 ÷ 2 = 5061) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10122 ÷ 3 = 3374) | 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 (10122 ÷ 6 = 1687) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (10122 ÷ 7 = 1446) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 2) | 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 10122 a prime number?
No. 10122 = 2 × 3 × 7 × 241, so it is divisible by 2.
What are the factors of 10122?
1, 2, 3, 6, 7, 14, 21, 42, 241, 482, 723, 1446, 1687, 3374, 5061, 10122.
What is 10122 in binary?
10011110001010 (hexadecimal 278A, octal 23612).
What is the square root of 10122?
About 100.6082.
Is 10122 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 10122?
10122 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 6.