The number 13332
13332 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 101. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 101, 132, 202, 303, 404 … 13332.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13332: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 12.
- 2
13332 is composite. Its prime factorisation is
- 3
The divisors add up to 34272; without 13332 itself that is 20940, so 13332 is abundant (20940 is more than 13332). Euler's totient φ(13332) = 4000 numbers up to 13332 share no factor with it.
- 4
The digits of 13332 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13332 = 2^{2} \times 3 \times 11 \times 101 \]13332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 34272 |
| Euler totient φ(n) | 4000 |
| Square | 177742224 |
| Cube | 2369659330368 |
| Square root | 115.464280 (= 2√3333) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3332 × |
13332 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and thirty-two |
| Binary (base 2) | 11010000010100 |
| Octal (base 8) | 32024 |
| Hexadecimal (base 16) | 3414 |
| Base 3 | 200021210 |
| As time | 13332 seconds = 3 h 42 min 12 s |
Is 13332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13332 ÷ 2 = 6666) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13332 ÷ 3 = 4444) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13332 ÷ 4 = 3333) | 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 | Yes (13332 ÷ 6 = 2222) | 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 4) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13332 ÷ 11 = 1212) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13332 ÷ 12 = 1111) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13332 a prime number?
No. 13332 = × 3 × 11 × 101, so it is divisible by 2.
What are the factors of 13332?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 101, 132, 202, 303, 404, 606, 1111, 1212, 2222, 3333, 4444, 6666, 13332.
What is 13332 in binary?
11010000010100 (hexadecimal 3414, octal 32024).
What is the square root of 13332?
About 115.4643, exactly 2√3333.
Is 13332 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13332?
13332 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 12.