The number 10132
10132 is a composite number with 12 divisors. Its prime factorisation is × 17 × 149. Divisors (12): 1, 2, 4, 17, 34, 68, 149, 298, 596, 2533, 5066, 10132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10132 is composite. Its prime factorisation is
- 3
The divisors add up to 18900; without 10132 itself that is 8768, so 10132 is deficient (8768 is less than 10132). Euler's totient φ(10132) = 4736 numbers up to 10132 share no factor with it.
- 4
The digits of 10132 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10132 = 2^{2} \times 17 \times 149 \]10132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 18900 |
| Euler totient φ(n) | 4736 |
| Square | 102657424 |
| Cube | 1040125019968 |
| Square root | 100.657836 (= 2√2533) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.0132 × |
10132 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and thirty-two |
| Binary (base 2) | 10011110010100 |
| Octal (base 8) | 23624 |
| Hexadecimal (base 16) | 2794 |
| Base 3 | 111220021 |
| As time | 10132 seconds = 2 h 48 min 52 s |
Is 10132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10132 ÷ 2 = 5066) | 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 (10132 ÷ 4 = 2533) | 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 | No (remainder 4) | 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 7) | 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 1) | 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 10132 a prime number?
No. 10132 = × 17 × 149, so it is divisible by 2.
What are the factors of 10132?
1, 2, 4, 17, 34, 68, 149, 298, 596, 2533, 5066, 10132.
What is 10132 in binary?
10011110010100 (hexadecimal 2794, octal 23624).
What is the square root of 10132?
About 100.6578, exactly 2√2533.
Is 10132 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 10132?
It is a composite number with 12 divisors.