The number 61332
61332 is a composite number with 24 divisors. Its prime factorisation is × 3 × 19 × 269. Divisors (24): 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 269, 538, 807, 1076 … 61332.
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How to work it out
- 1
61332 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61332 is composite. Its prime factorisation is
- 3
The divisors add up to 151200; without 61332 itself that is 89868, so 61332 is abundant (89868 is more than 61332). Euler's totient φ(61332) = 19296 numbers up to 61332 share no factor with it.
- 4
The digits of 61332 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61332 = 2^{2} \times 3 \times 19 \times 269 \]61332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 151200 |
| Euler totient φ(n) | 19296 |
| Square | 3761614224 |
| Cube | 230707323586368 |
| Square root | 247.652983 (= 2√15333) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1332 × |
61332 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand three hundred and thirty-two |
| Binary (base 2) | 1110111110010100 |
| Octal (base 8) | 167624 |
| Hexadecimal (base 16) | EF94 |
| Base 3 | 10010010120 |
| As time | 61332 seconds = 17 h 2 min 12 s |
Is 61332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61332 ÷ 2 = 30666) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61332 ÷ 3 = 20444) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61332 ÷ 4 = 15333) | 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 (61332 ÷ 6 = 10222) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61332 ÷ 12 = 5111) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61332 a prime number?
No. 61332 = × 3 × 19 × 269, so it is divisible by 2.
What are the factors of 61332?
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 269, 538, 807, 1076, 1614, 3228, 5111, 10222, 15333, 20444, 30666, 61332.
What is 61332 in binary?
1110111110010100 (hexadecimal EF94, octal 167624).
What is the square root of 61332?
About 247.6530, exactly 2√15333.
Is 61332 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 61332?
It is a composite number with 24 divisors.