The number 148
148 is a composite number with 6 divisors. Its prime factorisation is × 37. Divisors (6): 1, 2, 4, 37, 74, 148.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
148 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
148 is composite. Its prime factorisation is
- 3
The divisors add up to 266; without 148 itself that is 118, so 148 is deficient (118 is less than 148). Euler's totient φ(148) = 72 numbers up to 148 share no factor with it.
- 4
The digits of 148 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 148 = 2^{2} \times 37 \]148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 266 |
| Euler totient φ(n) | 72 |
| Square | 21904 |
| Cube | 3241792 |
| Square root | 12.165525 (= 2√37) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 23 |
| Scientific notation | 1.48 × |
148 in other forms
| Form | Value |
|---|---|
| In words | one hundred and forty-eight |
| Roman numerals | CXLVIII |
| Binary (base 2) | 10010100 |
| Octal (base 8) | 224 |
| Hexadecimal (base 16) | 94 |
| Base 3 | 12111 |
| As time | 148 seconds = 2 min 28 s |
Is 148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (148 ÷ 2 = 74) | 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 (148 ÷ 4 = 37) | 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 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 4) | 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 5) | 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 148 a prime number?
No. 148 = × 37, so it is divisible by 2.
What are the factors of 148?
1, 2, 4, 37, 74, 148.
What is 148 in binary?
10010100 (hexadecimal 94, octal 224).
What is the square root of 148?
About 12.1655, exactly 2√37.
What is 148 in Roman numerals?
CXLVIII.
Is 148 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 148?
It is a composite number with 6 divisors.