The number 26467
26467 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 199. Divisors (8): 1, 7, 19, 133, 199, 1393, 3781, 26467.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26467 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26467 is composite. Its prime factorisation is
- 3
The divisors add up to 32000; without 26467 itself that is 5533, so 26467 is deficient (5533 is less than 26467). Euler's totient φ(26467) = 21384 numbers up to 26467 share no factor with it.
- 4
The digits of 26467 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 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26467 = 7 \times 19 \times 199 \]
26467 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32000 |
| Euler totient φ(n) | 21384 |
| Square | 700502089 |
| Cube | 18540188789563 |
| Square root | 162.686816 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6467 × |
26467 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand four hundred and sixty-seven |
| Binary (base 2) | 110011101100011 |
| Octal (base 8) | 63543 |
| Hexadecimal (base 16) | 6763 |
| Base 3 | 1100022021 |
| As time | 26467 seconds = 7 h 21 min 7 s |
Is 26467 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (26467 ÷ 7 = 3781) | 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 | No (remainder 3) | 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 7) | 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 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26467 a prime number?
No. 26467 = 7 × 19 × 199, so it is divisible by 7.
What are the factors of 26467?
1, 7, 19, 133, 199, 1393, 3781, 26467.
What is 26467 in binary?
110011101100011 (hexadecimal 6763, octal 63543).
What is the square root of 26467?
About 162.6868.
Is 26467 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 26467?
It is a composite number with 8 divisors.