The number 26002
26002 is a composite number with 4 divisors. Its prime factorisation is 2 × 13001. Divisors (4): 1, 2, 13001, 26002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26002: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 13001, the product of two primes.
- 2
26002 is composite. Its prime factorisation is
- 3
The divisors add up to 39006; without 26002 itself that is 13004, so 26002 is deficient (13004 is less than 26002). Euler's totient φ(26002) = 13000 numbers up to 26002 share no factor with it.
- 4
The digits of 26002 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26002 = 2 \times 13001 \]
26002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 39006 |
| Euler totient φ(n) | 13000 |
| Square | 676104004 |
| Cube | 17580056312008 |
| Square root | 161.251357 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.6002 × |
26002 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and two |
| Binary (base 2) | 110010110010010 |
| Octal (base 8) | 62622 |
| Hexadecimal (base 16) | 6592 |
| Base 3 | 1022200001 |
| As time | 26002 seconds = 7 h 13 min 22 s |
Is 26002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26002 ÷ 2 = 13001) | 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 2) | 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 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 | No (remainder 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26002 a prime number?
No. 26002 = 2 × 13001, so it is divisible by 2.
What are the factors of 26002?
1, 2, 13001, 26002.
What is 26002 in binary?
110010110010010 (hexadecimal 6592, octal 62622).
What is the square root of 26002?
About 161.2514.
Is 26002 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 26002?
26002 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 13001, the product of two primes.