The number 3132
3132 is a composite number with 24 divisors. Its prime factorisation is × × 29. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116 … 3132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3132: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
3132 is composite. Its prime factorisation is
- 3
The divisors add up to 8400; without 3132 itself that is 5268, so 3132 is abundant (5268 is more than 3132). Euler's totient φ(3132) = 1008 numbers up to 3132 share no factor with it.
- 4
The digits of 3132 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 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3132 = 2^{2} \times 3^{3} \times 29 \]3132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 8400 |
| Euler totient φ(n) | 1008 |
| Square | 9809424 |
| Cube | 30723115968 |
| Square root | 55.964274 (= 6√87) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 123 |
| Scientific notation | 3.132 × |
3132 in other forms
| Form | Value |
|---|---|
| In words | three thousand one hundred and thirty-two |
| Roman numerals | MMMCXXXII |
| Binary (base 2) | 110000111100 |
| Octal (base 8) | 6074 |
| Hexadecimal (base 16) | C3C |
| Base 3 | 11022000 |
| As time | 3132 seconds = 52 min 12 s |
Is 3132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3132 ÷ 2 = 1566) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3132 ÷ 3 = 1044) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3132 ÷ 4 = 783) | 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 (3132 ÷ 6 = 522) | 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 | Yes (3132 ÷ 9 = 348) | 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 (3132 ÷ 12 = 261) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3132 a prime number?
No. 3132 = × × 29, so it is divisible by 2.
What are the factors of 3132?
1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132.
What is 3132 in binary?
110000111100 (hexadecimal C3C, octal 6074).
What is the square root of 3132?
About 55.9643, exactly 6√87.
What is 3132 in Roman numerals?
MMMCXXXII.
Is 3132 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 3132?
3132 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.