The number 4148
4148 is a composite number with 12 divisors. Its prime factorisation is × 17 × 61. Divisors (12): 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074, 4148.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4148: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
4148 is composite. Its prime factorisation is
- 3
The divisors add up to 7812; without 4148 itself that is 3664, so 4148 is deficient (3664 is less than 4148). Euler's totient φ(4148) = 1920 numbers up to 4148 share no factor with it.
- 4
The digits of 4148 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4148 = 2^{2} \times 17 \times 61 \]4148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7812 |
| Euler totient φ(n) | 1920 |
| Square | 17205904 |
| Cube | 71370089792 |
| Square root | 64.404969 (= 2√1037) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.148 × |
4148 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and forty-eight |
| Binary (base 2) | 1000000110100 |
| Octal (base 8) | 10064 |
| Hexadecimal (base 16) | 1034 |
| Base 3 | 12200122 |
| As time | 4148 seconds = 1 h 9 min 8 s |
Is 4148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4148 ÷ 2 = 2074) | 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 (4148 ÷ 4 = 1037) | 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 4) | 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 8) | 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 1) | 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 4148 a prime number?
No. 4148 = × 17 × 61, so it is divisible by 2.
What are the factors of 4148?
1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074, 4148.
What is 4148 in binary?
1000000110100 (hexadecimal 1034, octal 10064).
What is the square root of 4148?
About 64.4050, exactly 2√1037.
Is 4148 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 4148?
4148 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.