The number 72948
72948 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6079. Divisors (12): 1, 2, 3, 4, 6, 12, 6079, 12158, 18237, 24316, 36474, 72948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72948 is composite. Its prime factorisation is
- 3
The divisors add up to 170240; without 72948 itself that is 97292, so 72948 is abundant (97292 is more than 72948). Euler's totient φ(72948) = 24312 numbers up to 72948 share no factor with it.
- 4
The digits of 72948 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72948 = 2^{2} \times 3 \times 6079 \]72948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 170240 |
| Euler totient φ(n) | 24312 |
| Square | 5321410704 |
| Cube | 388186268035392 |
| Square root | 270.088874 (= 2√18237) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.2948 × |
72948 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand nine hundred and forty-eight |
| Binary (base 2) | 10001110011110100 |
| Octal (base 8) | 216364 |
| Hexadecimal (base 16) | 11CF4 |
| Base 3 | 10201001210 |
| As time | 72948 seconds = 20 h 15 min 48 s |
Is 72948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72948 ÷ 2 = 36474) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72948 ÷ 3 = 24316) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72948 ÷ 4 = 18237) | 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 | Yes (72948 ÷ 6 = 12158) | 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 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (72948 ÷ 12 = 6079) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72948 a prime number?
No. 72948 = × 3 × 6079, so it is divisible by 2.
What are the factors of 72948?
1, 2, 3, 4, 6, 12, 6079, 12158, 18237, 24316, 36474, 72948.
What is 72948 in binary?
10001110011110100 (hexadecimal 11CF4, octal 216364).
What is the square root of 72948?
About 270.0889, exactly 2√18237.
Is 72948 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 72948?
It is a composite number with 12 divisors.