The number 67456
67456 is a composite number with 32 divisors. Its prime factorisation is × 17 × 31. Divisors (32): 1, 2, 4, 8, 16, 17, 31, 32, 34, 62, 64, 68, 124, 128, 136, 248 … 67456.
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How to work it out
- 1
67456 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67456 is composite. Its prime factorisation is
- 3
The divisors add up to 146880; without 67456 itself that is 79424, so 67456 is abundant (79424 is more than 67456). Euler's totient φ(67456) = 30720 numbers up to 67456 share no factor with it.
- 4
The digits of 67456 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67456 = 2^{7} \times 17 \times 31 \]67456 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 146880 |
| Euler totient φ(n) | 30720 |
| Square | 4550311936 |
| Cube | 306945841954816 |
| Square root | 259.722929 (= 8√1054) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7456 × |
67456 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and fifty-six |
| Binary (base 2) | 10000011110000000 |
| Octal (base 8) | 203600 |
| Hexadecimal (base 16) | 10780 |
| Base 3 | 10102112101 |
| As time | 67456 seconds = 18 h 44 min 16 s |
Is 67456 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67456 ÷ 2 = 33728) | 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 (67456 ÷ 4 = 16864) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 4) | 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 (67456 ÷ 8 = 8432) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67456 a prime number?
No. 67456 = × 17 × 31, so it is divisible by 2.
What are the factors of 67456?
1, 2, 4, 8, 16, 17, 31, 32, 34, 62, 64, 68, 124, 128, 136, 248, 272, 496, 527, 544, 992, 1054, 1088, 1984, 2108, 2176, 3968, 4216, 8432, 16864, 33728, 67456.
What is 67456 in binary?
10000011110000000 (hexadecimal 10780, octal 203600).
What is the square root of 67456?
About 259.7229, exactly 8√1054.
Is 67456 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67456?
It is a composite number with 32 divisors.