The number 62464
62464 is a composite number with 22 divisors. Its prime factorisation is × 61. Divisors (22): 1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 256, 488, 512, 976, 1024 … 62464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
62464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
62464 is composite. Its prime factorisation is
- 3
The divisors add up to 126914; without 62464 itself that is 64450, so 62464 is abundant (64450 is more than 62464). Euler's totient φ(62464) = 30720 numbers up to 62464 share no factor with it.
- 4
The digits of 62464 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 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 62464 = 2^{10} \times 61 \]62464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 22 |
| Sum of divisors | 126914 |
| Euler totient φ(n) | 30720 |
| Square | 3901751296 |
| Cube | 243718992953344 |
| Square root | 249.927990 (= 32√61) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 29 |
| Scientific notation | 6.2464 × |
62464 in other forms
| Form | Value |
|---|---|
| In words | sixty-two thousand four hundred and sixty-four |
| Binary (base 2) | 1111010000000000 |
| Octal (base 8) | 172000 |
| Hexadecimal (base 16) | F400 |
| Base 3 | 10011200111 |
| As time | 62464 seconds = 17 h 21 min 4 s |
Is 62464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (62464 ÷ 2 = 31232) | 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 (62464 ÷ 4 = 15616) | 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 | Yes (62464 ÷ 8 = 7808) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 62464 a prime number?
No. 62464 = × 61, so it is divisible by 2.
What are the factors of 62464?
1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 256, 488, 512, 976, 1024, 1952, 3904, 7808, 15616, 31232, 62464.
What is 62464 in binary?
1111010000000000 (hexadecimal F400, octal 172000).
What is the square root of 62464?
About 249.9280, exactly 32√61.
Is 62464 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 62464?
It is a composite number with 22 divisors.