The number 65464
65464 is a composite number with 24 divisors. Its prime factorisation is × × 167. Divisors (24): 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 167, 196, 334, 392, 668, 1169 … 65464.
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How to work it out
- 1
What is special about 65464: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
65464 is composite. Its prime factorisation is
- 3
The divisors add up to 143640; without 65464 itself that is 78176, so 65464 is abundant (78176 is more than 65464). Euler's totient φ(65464) = 27888 numbers up to 65464 share no factor with it.
- 4
The digits of 65464 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 65464 = 2^{3} \times 7^{2} \times 167 \]65464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 143640 |
| Euler totient φ(n) | 27888 |
| Square | 4285535296 |
| Cube | 280548282617344 |
| Square root | 255.859336 (= 14√334) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.5464 × |
65464 in other forms
| Form | Value |
|---|---|
| In words | sixty-five thousand four hundred and sixty-four |
| Binary (base 2) | 1111111110111000 |
| Octal (base 8) | 177670 |
| Hexadecimal (base 16) | FFB8 |
| Base 3 | 10022210121 |
| As time | 65464 seconds = 18 h 11 min 4 s |
Is 65464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (65464 ÷ 2 = 32732) | 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 (65464 ÷ 4 = 16366) | 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 | Yes (65464 ÷ 7 = 9352) | 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 (65464 ÷ 8 = 8183) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3) | 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 65464 a prime number?
No. 65464 = × × 167, so it is divisible by 2.
What are the factors of 65464?
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 167, 196, 334, 392, 668, 1169, 1336, 2338, 4676, 8183, 9352, 16366, 32732, 65464.
What is 65464 in binary?
1111111110111000 (hexadecimal FFB8, octal 177670).
What is the square root of 65464?
About 255.8593, exactly 14√334.
Is 65464 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 65464?
65464 is a happy number: repeatedly adding the squares of its digits reaches 1.