The number 59388

Q: Is 59388 a prime number?

No. 59388 = 2^2 × 3 × 7^2 × 101, so it is divisible by 2.

59388 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 3 × $7^{2}$ × 101. Divisors (36): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 101, 147 … 59388.

Number

Pick any whole number from 1 to 100,000.

59388 = 2^{2} \times 3 \times 7^{2} \times 101

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How to work it out

1
59388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
59388 is composite. Its prime factorisation is
$59388 = 2^{2} \times 3 \times 7^{2} \times 101$
3
The divisors add up to 162792; without 59388 itself that is 103404, so 59388 is abundant (103404 is more than 59388). Euler's totient φ(59388) = 16800 numbers up to 59388 share no factor with it.
4
The digits of 59388 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.

LaTeX source of the formulas on this page

\[ 59388 = 2^{2} \times 3 \times 7^{2} \times 101 \]

59388 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	162792
Euler totient φ(n)	16800
Square	3526934544
Cube	209457588699072
Square root	243.696533 (= 14√303)
Digit sum / digital root	33 / 6
Collatz steps to 1	148
Scientific notation	5.9388 × $10^{4}$

59388 in other forms

Form	Value
In words	fifty-nine thousand three hundred and eighty-eight
Binary (base 2)	1110011111111100
Octal (base 8)	163774
Hexadecimal (base 16)	E7FC
Base 3	10000110120
As time	59388 seconds = 16 h 29 min 48 s

Is 59388 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (59388 ÷ 2 = 29694)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (59388 ÷ 3 = 19796)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (59388 ÷ 4 = 14847)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 3)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (59388 ÷ 6 = 9898)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (59388 ÷ 7 = 8484)	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 8)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 10)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (59388 ÷ 12 = 4949)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 59388 a prime number?

No. 59388 = $2^{2}$ × 3 × $7^{2}$ × 101, so it is divisible by 2.

What are the factors of 59388?

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 101, 147, 196, 202, 294, 303, 404, 588, 606, 707, 1212, 1414, 2121, 2828, 4242, 4949, 8484, 9898, 14847, 19796, 29694, 59388.

What is 59388 in binary?

1110011111111100 (hexadecimal E7FC, octal 163774).

What is the square root of 59388?

About 243.6965, exactly 14√303.

Is 59388 divisible by 3?

Yes. Its digits add up to 33, a multiple of 3.

What is special about the number 59388?

It is a composite number with 36 divisors.