The number 73320

Q: Is 73320 a prime number?

No. 73320 = 2^3 × 3 × 5 × 13 × 47, so it is divisible by 2.

73320 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 5 × 13 × 47. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39 … 73320.

Number

Pick any whole number from 1 to 100,000.

73320 = 2^{3} \times 3 \times 5 \times 13 \times 47

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How to work it out

1
What is special about 73320: a Harshad number: divisible by its digit sum 15.
2
73320 is composite. Its prime factorisation is
$73320 = 2^{3} \times 3 \times 5 \times 13 \times 47$
3
The divisors add up to 241920; without 73320 itself that is 168600, so 73320 is abundant (168600 is more than 73320). Euler's totient φ(73320) = 17664 numbers up to 73320 share no factor with it.
4
The digits of 73320 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 156 steps to reach 1.

LaTeX source of the formulas on this page

\[ 73320 = 2^{3} \times 3 \times 5 \times 13 \times 47 \]

73320 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	241920
Euler totient φ(n)	17664
Square	5375822400
Cube	394155298368000
Square root	270.776661 (= 2√18330)
Digit sum / digital root	15 / 6
Collatz steps to 1	156
Scientific notation	7.332 × $10^{4}$

73320 in other forms

Form	Value
In words	seventy-three thousand three hundred and twenty
Binary (base 2)	10001111001101000
Octal (base 8)	217150
Hexadecimal (base 16)	11E68
Base 3	10201120120
As time	73320 seconds = 20 h 22 min 0 s

Is 73320 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (73320 ÷ 2 = 36660)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (73320 ÷ 3 = 24440)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (73320 ÷ 4 = 18330)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (73320 ÷ 5 = 14664)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (73320 ÷ 6 = 12220)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 2)	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	Yes (73320 ÷ 8 = 9165)	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	Yes (73320 ÷ 10 = 7332)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 5)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (73320 ÷ 12 = 6110)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 73320 a prime number?

No. 73320 = $2^{3}$ × 3 × 5 × 13 × 47, so it is divisible by 2.

What are the factors of 73320?

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 47, 52, 60, 65, 78, 94, 104, 120, 130, 141, 156, 188, 195, 235, 260, 282, 312, 376, 390, 470, 520, 564, 611, 705, 780, 940, 1128, 1222, 1410, 1560, 1833, 1880, 2444, 2820, 3055, 3666, 4888, 5640, 6110, 7332, 9165, 12220, 14664, 18330, 24440, 36660, 73320.

What is 73320 in binary?

10001111001101000 (hexadecimal 11E68, octal 217150).

What is the square root of 73320?

About 270.7767, exactly 2√18330.

Is 73320 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 73320?

73320 is a Harshad number: divisible by its digit sum 15.