The number 57330

Q: Is 57330 a prime number?

No. 57330 = 2 × 3^2 × 5 × 7^2 × 13, so it is divisible by 2.

57330 is a composite number with 72 divisors. Its prime factorisation is 2 × $3^{2}$ × 5 × $7^{2}$ × 13. Divisors (72): 1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35 … 57330.

Number

Pick any whole number from 1 to 100,000.

57330 = 2 \times 3^{2} \times 5 \times 7^{2} \times 13

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How to work it out

1
What is special about 57330: a Harshad number: divisible by its digit sum 18.
2
57330 is composite. Its prime factorisation is
$57330 = 2 \times 3^{2} \times 5 \times 7^{2} \times 13$
3
The divisors add up to 186732; without 57330 itself that is 129402, so 57330 is abundant (129402 is more than 57330). Euler's totient φ(57330) = 12096 numbers up to 57330 share no factor with it.
4
The digits of 57330 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.

LaTeX source of the formulas on this page

\[ 57330 = 2 \times 3^{2} \times 5 \times 7^{2} \times 13 \]

57330 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	186732
Euler totient φ(n)	12096
Square	3286728900
Cube	188428167837000
Square root	239.436839 (= 21√130)
Digit sum / digital root	18 / 9
Collatz steps to 1	104
Scientific notation	5.733 × $10^{4}$

57330 in other forms

Form	Value
In words	fifty-seven thousand three hundred and thirty
Binary (base 2)	1101111111110010
Octal (base 8)	157762
Hexadecimal (base 16)	DFF2
Base 3	2220122100
As time	57330 seconds = 15 h 55 min 30 s

Is 57330 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (57330 ÷ 2 = 28665)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (57330 ÷ 3 = 19110)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	No (remainder 2)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (57330 ÷ 5 = 11466)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (57330 ÷ 6 = 9555)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (57330 ÷ 7 = 8190)	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 2)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (57330 ÷ 9 = 6370)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (57330 ÷ 10 = 5733)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 9)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 6)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 57330 a prime number?

No. 57330 = 2 × $3^{2}$ × 5 × $7^{2}$ × 13, so it is divisible by 2.

What are the factors of 57330?

1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 49, 63, 65, 70, 78, 90, 91, 98, 105, 117, 126, 130, 147, 182, 195, 210, 234, 245, 273, 294, 315, 390, 441, 455, 490, 546, 585, 630, 637, 735, 819, 882, 910, 1170, 1274, 1365, 1470, 1638, 1911, 2205, 2730, 3185, 3822, 4095, 4410, 5733, 6370, 8190, 9555, 11466, 19110, 28665, 57330.

What is 57330 in binary?

1101111111110010 (hexadecimal DFF2, octal 157762).

What is the square root of 57330?

About 239.4368, exactly 21√130.

Is 57330 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 57330?

57330 is a Harshad number: divisible by its digit sum 18.