The number 64464
64464 is a composite number with 40 divisors. Its prime factorisation is × 3 × 17 × 79. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 79, 102 … 64464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 64464: a Harshad number: divisible by its digit sum 24.
- 2
64464 is composite. Its prime factorisation is
- 3
The divisors add up to 178560; without 64464 itself that is 114096, so 64464 is abundant (114096 is more than 64464). Euler's totient φ(64464) = 19968 numbers up to 64464 share no factor with it.
- 4
The digits of 64464 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64464 = 2^{4} \times 3 \times 17 \times 79 \]64464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 178560 |
| Euler totient φ(n) | 19968 |
| Square | 4155607296 |
| Cube | 267887068729344 |
| Square root | 253.897617 (= 4√4029) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 99 |
| Scientific notation | 6.4464 × |
64464 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand four hundred and sixty-four |
| Binary (base 2) | 1111101111010000 |
| Octal (base 8) | 175720 |
| Hexadecimal (base 16) | FBD0 |
| Base 3 | 10021102120 |
| As time | 64464 seconds = 17 h 54 min 24 s |
Is 64464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64464 ÷ 2 = 32232) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (64464 ÷ 3 = 21488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (64464 ÷ 4 = 16116) | 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 | Yes (64464 ÷ 6 = 10744) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (64464 ÷ 8 = 8058) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (64464 ÷ 12 = 5372) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64464 a prime number?
No. 64464 = × 3 × 17 × 79, so it is divisible by 2.
What are the factors of 64464?
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 79, 102, 136, 158, 204, 237, 272, 316, 408, 474, 632, 816, 948, 1264, 1343, 1896, 2686, 3792, 4029, 5372, 8058, 10744, 16116, 21488, 32232, 64464.
What is 64464 in binary?
1111101111010000 (hexadecimal FBD0, octal 175720).
What is the square root of 64464?
About 253.8976, exactly 4√4029.
Is 64464 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 64464?
64464 is a Harshad number: divisible by its digit sum 24.