The number 26401
26401 is a composite number with 4 divisors. Its prime factorisation is 17 × 1553. Divisors (4): 1, 17, 1553, 26401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26401: a semiprime: 17 × 1553, the product of two primes.
- 2
26401 is composite. Its prime factorisation is
- 3
The divisors add up to 27972; without 26401 itself that is 1571, so 26401 is deficient (1571 is less than 26401). Euler's totient φ(26401) = 24832 numbers up to 26401 share no factor with it.
- 4
The digits of 26401 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26401 = 17 \times 1553 \]
26401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 27972 |
| Euler totient φ(n) | 24832 |
| Square | 697012801 |
| Cube | 18401834959201 |
| Square root | 162.483845 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6401 × |
26401 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand four hundred and one |
| Binary (base 2) | 110011100100001 |
| Octal (base 8) | 63441 |
| Hexadecimal (base 16) | 6721 |
| Base 3 | 1100012211 |
| As time | 26401 seconds = 7 h 20 min 1 s |
Is 26401 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 1) | 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 1) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26401 a prime number?
No. 26401 = 17 × 1553, so it is divisible by 17.
What are the factors of 26401?
1, 17, 1553, 26401.
What is 26401 in binary?
110011100100001 (hexadecimal 6721, octal 63441).
What is the square root of 26401?
About 162.4838.
Is 26401 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 26401?
26401 is a semiprime: 17 × 1553, the product of two primes.