The number 26407
26407 is the 2901st prime number. Its only divisors are 1 and 26407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26407: the 2901st prime number.
- 2
26407 is prime, so its only factors are 1 and 26407. It is the 2901st prime; the next prime is 26417 and the one before is 26399.
- 3
The divisors add up to 26408; without 26407 itself that is 1, so 26407 is deficient (1 is less than 26407). Euler's totient φ(26407) = 26406 numbers up to 26407 share no factor with it.
- 4
The digits of 26407 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
26407 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 26408 |
| Euler totient φ(n) | 26406 |
| Square | 697329649 |
| Cube | 18414384041143 |
| Square root | 162.502308 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.6407 × |
26407 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand four hundred and seven |
| Binary (base 2) | 110011100100111 |
| Octal (base 8) | 63447 |
| Hexadecimal (base 16) | 6727 |
| Base 3 | 1100020001 |
| As time | 26407 seconds = 7 h 20 min 7 s |
Is 26407 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 | No (remainder 3) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 26407 a prime number?
Yes. 26407 is divisible only by 1 and itself.
What are the factors of 26407?
1, 26407.
What is 26407 in binary?
110011100100111 (hexadecimal 6727, octal 63447).
What is the square root of 26407?
About 162.5023.
Is 26407 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 26407?
26407 is the 2901st prime number.