The number 72968
72968 is a composite number with 16 divisors. Its prime factorisation is × 7 × 1303. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 1303, 2606, 5212, 9121, 10424, 18242, 36484, 72968.
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How to work it out
- 1
72968 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72968 is composite. Its prime factorisation is
- 3
The divisors add up to 156480; without 72968 itself that is 83512, so 72968 is abundant (83512 is more than 72968). Euler's totient φ(72968) = 31248 numbers up to 72968 share no factor with it.
- 4
The digits of 72968 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72968 = 2^{3} \times 7 \times 1303 \]72968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 156480 |
| Euler totient φ(n) | 31248 |
| Square | 5324329024 |
| Cube | 388505640223232 |
| Square root | 270.125897 (= 2√18242) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.2968 × |
72968 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand nine hundred and sixty-eight |
| Binary (base 2) | 10001110100001000 |
| Octal (base 8) | 216410 |
| Hexadecimal (base 16) | 11D08 |
| Base 3 | 10201002112 |
| As time | 72968 seconds = 20 h 16 min 8 s |
Is 72968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72968 ÷ 2 = 36484) | 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 (72968 ÷ 4 = 18242) | 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 | Yes (72968 ÷ 7 = 10424) | 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 | Yes (72968 ÷ 8 = 9121) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72968 a prime number?
No. 72968 = × 7 × 1303, so it is divisible by 2.
What are the factors of 72968?
1, 2, 4, 7, 8, 14, 28, 56, 1303, 2606, 5212, 9121, 10424, 18242, 36484, 72968.
What is 72968 in binary?
10001110100001000 (hexadecimal 11D08, octal 216410).
What is the square root of 72968?
About 270.1259, exactly 2√18242.
Is 72968 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 72968?
It is a composite number with 16 divisors.