The number 13032
13032 is a composite number with 24 divisors. Its prime factorisation is × × 181. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 181, 362, 543, 724 … 13032.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13032: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
13032 is composite. Its prime factorisation is
- 3
The divisors add up to 35490; without 13032 itself that is 22458, so 13032 is abundant (22458 is more than 13032). Euler's totient φ(13032) = 4320 numbers up to 13032 share no factor with it.
- 4
The digits of 13032 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13032 = 2^{3} \times 3^{2} \times 181 \]13032 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 35490 |
| Euler totient φ(n) | 4320 |
| Square | 169833024 |
| Cube | 2213263968768 |
| Square root | 114.157786 (= 6√362) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3032 × |
13032 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and thirty-two |
| Binary (base 2) | 11001011101000 |
| Octal (base 8) | 31350 |
| Hexadecimal (base 16) | 32E8 |
| Base 3 | 122212200 |
| As time | 13032 seconds = 3 h 37 min 12 s |
Is 13032 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13032 ÷ 2 = 6516) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13032 ÷ 3 = 4344) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13032 ÷ 4 = 3258) | 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 (13032 ÷ 6 = 2172) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (13032 ÷ 8 = 1629) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13032 ÷ 9 = 1448) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13032 ÷ 12 = 1086) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13032 a prime number?
No. 13032 = × × 181, so it is divisible by 2.
What are the factors of 13032?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 181, 362, 543, 724, 1086, 1448, 1629, 2172, 3258, 4344, 6516, 13032.
What is 13032 in binary?
11001011101000 (hexadecimal 32E8, octal 31350).
What is the square root of 13032?
About 114.1578, exactly 6√362.
Is 13032 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 13032?
13032 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.