The number 72940
72940 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 521. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 521, 1042, 2084, 2605 … 72940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72940 is composite. Its prime factorisation is
- 3
The divisors add up to 175392; without 72940 itself that is 102452, so 72940 is abundant (102452 is more than 72940). Euler's totient φ(72940) = 24960 numbers up to 72940 share no factor with it.
- 4
The digits of 72940 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72940 = 2^{2} \times 5 \times 7 \times 521 \]72940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 175392 |
| Euler totient φ(n) | 24960 |
| Square | 5320243600 |
| Cube | 388058568184000 |
| Square root | 270.074064 (= 2√18235) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.294 × |
72940 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand nine hundred and forty |
| Binary (base 2) | 10001110011101100 |
| Octal (base 8) | 216354 |
| Hexadecimal (base 16) | 11CEC |
| Base 3 | 10201001111 |
| As time | 72940 seconds = 20 h 15 min 40 s |
Is 72940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72940 ÷ 2 = 36470) | 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 (72940 ÷ 4 = 18235) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (72940 ÷ 5 = 14588) | 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 | Yes (72940 ÷ 7 = 10420) | 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 | Yes (72940 ÷ 10 = 7294) | 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 72940 a prime number?
No. 72940 = × 5 × 7 × 521, so it is divisible by 2.
What are the factors of 72940?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 521, 1042, 2084, 2605, 3647, 5210, 7294, 10420, 14588, 18235, 36470, 72940.
What is 72940 in binary?
10001110011101100 (hexadecimal 11CEC, octal 216354).
What is the square root of 72940?
About 270.0741, exactly 2√18235.
Is 72940 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 72940?
It is a composite number with 24 divisors.