The number 67464
67464 is a composite number with 24 divisors. Its prime factorisation is × × 937. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 937, 1874, 2811, 3748 … 67464.
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How to work it out
- 1
67464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67464 is composite. Its prime factorisation is
- 3
The divisors add up to 182910; without 67464 itself that is 115446, so 67464 is abundant (115446 is more than 67464). Euler's totient φ(67464) = 22464 numbers up to 67464 share no factor with it.
- 4
The digits of 67464 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67464 = 2^{3} \times 3^{2} \times 937 \]67464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 182910 |
| Euler totient φ(n) | 22464 |
| Square | 4551391296 |
| Cube | 307055062393344 |
| Square root | 259.738330 (= 6√1874) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7464 × |
67464 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and sixty-four |
| Binary (base 2) | 10000011110001000 |
| Octal (base 8) | 203610 |
| Hexadecimal (base 16) | 10788 |
| Base 3 | 10102112200 |
| As time | 67464 seconds = 18 h 44 min 24 s |
Is 67464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67464 ÷ 2 = 33732) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67464 ÷ 3 = 22488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67464 ÷ 4 = 16866) | 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 (67464 ÷ 6 = 11244) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (67464 ÷ 8 = 8433) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67464 ÷ 9 = 7496) | 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 | Yes (67464 ÷ 12 = 5622) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67464 a prime number?
No. 67464 = × × 937, so it is divisible by 2.
What are the factors of 67464?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 937, 1874, 2811, 3748, 5622, 7496, 8433, 11244, 16866, 22488, 33732, 67464.
What is 67464 in binary?
10000011110001000 (hexadecimal 10788, octal 203610).
What is the square root of 67464?
About 259.7383, exactly 6√1874.
Is 67464 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67464?
It is a composite number with 24 divisors.