The number 10148
10148 is a composite number with 12 divisors. Its prime factorisation is × 43 × 59. Divisors (12): 1, 2, 4, 43, 59, 86, 118, 172, 236, 2537, 5074, 10148.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10148: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10148 is composite. Its prime factorisation is
- 3
The divisors add up to 18480; without 10148 itself that is 8332, so 10148 is deficient (8332 is less than 10148). Euler's totient φ(10148) = 4872 numbers up to 10148 share no factor with it.
- 4
The digits of 10148 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10148 = 2^{2} \times 43 \times 59 \]10148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 18480 |
| Euler totient φ(n) | 4872 |
| Square | 102981904 |
| Cube | 1045060361792 |
| Square root | 100.737282 (= 2√2537) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 135 |
| Scientific notation | 1.0148 × |
10148 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and forty-eight |
| Binary (base 2) | 10011110100100 |
| Octal (base 8) | 23644 |
| Hexadecimal (base 16) | 27A4 |
| Base 3 | 111220212 |
| As time | 10148 seconds = 2 h 49 min 8 s |
Is 10148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10148 ÷ 2 = 5074) | 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 (10148 ÷ 4 = 2537) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10148 a prime number?
No. 10148 = × 43 × 59, so it is divisible by 2.
What are the factors of 10148?
1, 2, 4, 43, 59, 86, 118, 172, 236, 2537, 5074, 10148.
What is 10148 in binary?
10011110100100 (hexadecimal 27A4, octal 23644).
What is the square root of 10148?
About 100.7373, exactly 2√2537.
Is 10148 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 10148?
10148 is a happy number: repeatedly adding the squares of its digits reaches 1.