The number 72464
72464 is a composite number with 20 divisors. Its prime factorisation is × 7 × 647. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 647, 1294, 2588, 4529, 5176, 9058 … 72464.
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How to work it out
- 1
72464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72464 is composite. Its prime factorisation is
- 3
The divisors add up to 160704; without 72464 itself that is 88240, so 72464 is abundant (88240 is more than 72464). Euler's totient φ(72464) = 31008 numbers up to 72464 share no factor with it.
- 4
The digits of 72464 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72464 = 2^{4} \times 7 \times 647 \]72464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 160704 |
| Euler totient φ(n) | 31008 |
| Square | 5251031296 |
| Cube | 380510731833344 |
| Square root | 269.191382 (= 4√4529) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2464 × |
72464 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and sixty-four |
| Binary (base 2) | 10001101100010000 |
| Octal (base 8) | 215420 |
| Hexadecimal (base 16) | 11B10 |
| Base 3 | 10200101212 |
| As time | 72464 seconds = 20 h 7 min 44 s |
Is 72464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72464 ÷ 2 = 36232) | 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 (72464 ÷ 4 = 18116) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (72464 ÷ 7 = 10352) | 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 (72464 ÷ 8 = 9058) | 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 4) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72464 a prime number?
No. 72464 = × 7 × 647, so it is divisible by 2.
What are the factors of 72464?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 647, 1294, 2588, 4529, 5176, 9058, 10352, 18116, 36232, 72464.
What is 72464 in binary?
10001101100010000 (hexadecimal 11B10, octal 215420).
What is the square root of 72464?
About 269.1914, exactly 4√4529.
Is 72464 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 72464?
It is a composite number with 20 divisors.