The number 13100
13100 is a composite number with 18 divisors. Its prime factorisation is × × 131. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 131, 262, 524, 655, 1310, 2620, 3275 … 13100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13100: a Harshad number: divisible by its digit sum 5.
- 2
13100 is composite. Its prime factorisation is
- 3
The divisors add up to 28644; without 13100 itself that is 15544, so 13100 is abundant (15544 is more than 13100). Euler's totient φ(13100) = 5200 numbers up to 13100 share no factor with it.
- 4
The digits of 13100 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13100 = 2^{2} \times 5^{2} \times 131 \]13100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 28644 |
| Euler totient φ(n) | 5200 |
| Square | 171610000 |
| Cube | 2248091000000 |
| Square root | 114.455231 (= 10√131) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.31 × |
13100 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred |
| Binary (base 2) | 11001100101100 |
| Octal (base 8) | 31454 |
| Hexadecimal (base 16) | 332C |
| Base 3 | 122222012 |
| As time | 13100 seconds = 3 h 38 min 20 s |
Is 13100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13100 ÷ 2 = 6550) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13100 ÷ 4 = 3275) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13100 ÷ 5 = 2620) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13100 ÷ 10 = 1310) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13100 a prime number?
No. 13100 = × × 131, so it is divisible by 2.
What are the factors of 13100?
1, 2, 4, 5, 10, 20, 25, 50, 100, 131, 262, 524, 655, 1310, 2620, 3275, 6550, 13100.
What is 13100 in binary?
11001100101100 (hexadecimal 332C, octal 31454).
What is the square root of 13100?
About 114.4552, exactly 10√131.
Is 13100 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 13100?
13100 is a Harshad number: divisible by its digit sum 5.