The number 72964
72964 is a composite number with 24 divisors. Its prime factorisation is × 17 × 29 × 37. Divisors (24): 1, 2, 4, 17, 29, 34, 37, 58, 68, 74, 116, 148, 493, 629, 986, 1073 … 72964.
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How to work it out
- 1
72964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72964 is composite. Its prime factorisation is
- 3
The divisors add up to 143640; without 72964 itself that is 70676, so 72964 is deficient (70676 is less than 72964). Euler's totient φ(72964) = 32256 numbers up to 72964 share no factor with it.
- 4
The digits of 72964 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72964 = 2^{2} \times 17 \times 29 \times 37 \]72964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 143640 |
| Euler totient φ(n) | 32256 |
| Square | 5323745296 |
| Cube | 388441751777344 |
| Square root | 270.118493 (= 2√18241) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.2964 × |
72964 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand nine hundred and sixty-four |
| Binary (base 2) | 10001110100000100 |
| Octal (base 8) | 216404 |
| Hexadecimal (base 16) | 11D04 |
| Base 3 | 10201002101 |
| As time | 72964 seconds = 20 h 16 min 4 s |
Is 72964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72964 ÷ 2 = 36482) | 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 (72964 ÷ 4 = 18241) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 3) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 72964 a prime number?
No. 72964 = × 17 × 29 × 37, so it is divisible by 2.
What are the factors of 72964?
1, 2, 4, 17, 29, 34, 37, 58, 68, 74, 116, 148, 493, 629, 986, 1073, 1258, 1972, 2146, 2516, 4292, 18241, 36482, 72964.
What is 72964 in binary?
10001110100000100 (hexadecimal 11D04, octal 216404).
What is the square root of 72964?
About 270.1185, exactly 2√18241.
Is 72964 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 72964?
It is a composite number with 24 divisors.