The number 13350
13350 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 89. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 89, 150, 178, 267, 445 … 13350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13350: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13350 is composite. Its prime factorisation is
- 3
The divisors add up to 33480; without 13350 itself that is 20130, so 13350 is abundant (20130 is more than 13350). Euler's totient φ(13350) = 3520 numbers up to 13350 share no factor with it.
- 4
The digits of 13350 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13350 = 2 \times 3 \times 5^{2} \times 89 \]13350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 33480 |
| Euler totient φ(n) | 3520 |
| Square | 178222500 |
| Cube | 2379270375000 |
| Square root | 115.542200 (= 5√534) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.335 × |
13350 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and fifty |
| Binary (base 2) | 11010000100110 |
| Octal (base 8) | 32046 |
| Hexadecimal (base 16) | 3426 |
| Base 3 | 200022110 |
| As time | 13350 seconds = 3 h 42 min 30 s |
Is 13350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13350 ÷ 2 = 6675) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13350 ÷ 3 = 4450) | 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 | Yes (13350 ÷ 5 = 2670) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13350 ÷ 6 = 2225) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13350 ÷ 10 = 1335) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13350 a prime number?
No. 13350 = 2 × 3 × × 89, so it is divisible by 2.
What are the factors of 13350?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 89, 150, 178, 267, 445, 534, 890, 1335, 2225, 2670, 4450, 6675, 13350.
What is 13350 in binary?
11010000100110 (hexadecimal 3426, octal 32046).
What is the square root of 13350?
About 115.5422, exactly 5√534.
Is 13350 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13350?
13350 is a happy number: repeatedly adding the squares of its digits reaches 1.