The number 72148
72148 is a composite number with 12 divisors. Its prime factorisation is × 17 × 1061. Divisors (12): 1, 2, 4, 17, 34, 68, 1061, 2122, 4244, 18037, 36074, 72148.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72148 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72148 is composite. Its prime factorisation is
- 3
The divisors add up to 133812; without 72148 itself that is 61664, so 72148 is deficient (61664 is less than 72148). Euler's totient φ(72148) = 33920 numbers up to 72148 share no factor with it.
- 4
The digits of 72148 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72148 = 2^{2} \times 17 \times 1061 \]72148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 133812 |
| Euler totient φ(n) | 33920 |
| Square | 5205333904 |
| Cube | 375554430505792 |
| Square root | 268.603797 (= 2√18037) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2148 × |
72148 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and forty-eight |
| Binary (base 2) | 10001100111010100 |
| Octal (base 8) | 214724 |
| Hexadecimal (base 16) | 119D4 |
| Base 3 | 10122222011 |
| As time | 72148 seconds = 20 h 2 min 28 s |
Is 72148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72148 ÷ 2 = 36074) | 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 (72148 ÷ 4 = 18037) | 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 6) | 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 10) | 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 72148 a prime number?
No. 72148 = × 17 × 1061, so it is divisible by 2.
What are the factors of 72148?
1, 2, 4, 17, 34, 68, 1061, 2122, 4244, 18037, 36074, 72148.
What is 72148 in binary?
10001100111010100 (hexadecimal 119D4, octal 214724).
What is the square root of 72148?
About 268.6038, exactly 2√18037.
Is 72148 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 72148?
It is a composite number with 12 divisors.