The number 26200
26200 is a composite number with 24 divisors. Its prime factorisation is × × 131. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 131, 200, 262, 524, 655 … 26200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26200: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
26200 is composite. Its prime factorisation is
- 3
The divisors add up to 61380; without 26200 itself that is 35180, so 26200 is abundant (35180 is more than 26200). Euler's totient φ(26200) = 10400 numbers up to 26200 share no factor with it.
- 4
The digits of 26200 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 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26200 = 2^{3} \times 5^{2} \times 131 \]26200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 61380 |
| Euler totient φ(n) | 10400 |
| Square | 686440000 |
| Cube | 17984728000000 |
| Square root | 161.864141 (= 10√262) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.62 × |
26200 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand two hundred |
| Binary (base 2) | 110011001011000 |
| Octal (base 8) | 63130 |
| Hexadecimal (base 16) | 6658 |
| Base 3 | 1022221101 |
| As time | 26200 seconds = 7 h 16 min 40 s |
Is 26200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26200 ÷ 2 = 13100) | 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 (26200 ÷ 4 = 6550) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26200 ÷ 5 = 5240) | 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 6) | 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 (26200 ÷ 8 = 3275) | 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 | Yes (26200 ÷ 10 = 2620) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26200 a prime number?
No. 26200 = × × 131, so it is divisible by 2.
What are the factors of 26200?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 131, 200, 262, 524, 655, 1048, 1310, 2620, 3275, 5240, 6550, 13100, 26200.
What is 26200 in binary?
110011001011000 (hexadecimal 6658, octal 63130).
What is the square root of 26200?
About 161.8641, exactly 10√262.
Is 26200 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 26200?
26200 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.