The number 58812

Q: Is 58812 a prime number?

No. 58812 = 2^2 × 3 × 13^2 × 29, so it is divisible by 2.

58812 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 3 × $13^{2}$ × 29. Divisors (36): 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156 … 58812.

Number

Pick any whole number from 1 to 100,000.

58812 = 2^{2} \times 3 \times 13^{2} \times 29

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How to work it out

1
58812 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
58812 is composite. Its prime factorisation is
$58812 = 2^{2} \times 3 \times 13^{2} \times 29$
3
The divisors add up to 153720; without 58812 itself that is 94908, so 58812 is abundant (94908 is more than 58812). Euler's totient φ(58812) = 17472 numbers up to 58812 share no factor with it.
4
The digits of 58812 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.

LaTeX source of the formulas on this page

\[ 58812 = 2^{2} \times 3 \times 13^{2} \times 29 \]

58812 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	153720
Euler totient φ(n)	17472
Square	3458851344
Cube	203421965243328
Square root	242.511855 (= 26√87)
Digit sum / digital root	24 / 6
Collatz steps to 1	104
Scientific notation	5.8812 × $10^{4}$

58812 in other forms

Form	Value
In words	fifty-eight thousand eight hundred and twelve
Binary (base 2)	1110010110111100
Octal (base 8)	162674
Hexadecimal (base 16)	E5BC
Base 3	2222200020
As time	58812 seconds = 16 h 20 min 12 s

Is 58812 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (58812 ÷ 2 = 29406)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (58812 ÷ 3 = 19604)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (58812 ÷ 4 = 14703)	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 (58812 ÷ 6 = 9802)	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 6)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (58812 ÷ 12 = 4901)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 58812 a prime number?

No. 58812 = $2^{2}$ × 3 × $13^{2}$ × 29, so it is divisible by 2.

What are the factors of 58812?

1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 169, 174, 338, 348, 377, 507, 676, 754, 1014, 1131, 1508, 2028, 2262, 4524, 4901, 9802, 14703, 19604, 29406, 58812.

What is 58812 in binary?

1110010110111100 (hexadecimal E5BC, octal 162674).

What is the square root of 58812?

About 242.5119, exactly 26√87.

Is 58812 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 58812?

It is a composite number with 36 divisors.