The number 73960

Q: Is 73960 a prime number?

No. 73960 = 2^3 × 5 × 43^2, so it is divisible by 2.

73960 is a composite number with 24 divisors. Its prime factorisation is $2^{3}$ × 5 × $43^{2}$ . Divisors (24): 1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720 … 73960.

Number

Pick any whole number from 1 to 100,000.

73960 = 2^{3} \times 5 \times 43^{2}

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How to work it out

1
73960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
73960 is composite. Its prime factorisation is
$73960 = 2^{3} \times 5 \times 43^{2}$
3
The divisors add up to 170370; without 73960 itself that is 96410, so 73960 is abundant (96410 is more than 73960). Euler's totient φ(73960) = 28896 numbers up to 73960 share no factor with it.
4
The digits of 73960 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.

LaTeX source of the formulas on this page

\[ 73960 = 2^{3} \times 5 \times 43^{2} \]

73960 at a glance

Property	Value
Type	composite
Number of divisors	24
Sum of divisors	170370
Euler totient φ(n)	28896
Square	5470081600
Cube	404567235136000
Square root	271.955879 (= 86√10)
Digit sum / digital root	25 / 7
Collatz steps to 1	156
Scientific notation	7.396 × $10^{4}$

73960 in other forms

Form	Value
In words	seventy-three thousand nine hundred and sixty
Binary (base 2)	10010000011101000
Octal (base 8)	220350
Hexadecimal (base 16)	120E8
Base 3	10202110021
As time	73960 seconds = 20 h 32 min 40 s

Is 73960 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (73960 ÷ 2 = 36980)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 1)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (73960 ÷ 4 = 18490)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (73960 ÷ 5 = 14792)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 4)	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	Yes (73960 ÷ 8 = 9245)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 7)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (73960 ÷ 10 = 7396)	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	No (remainder 4)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 73960 a prime number?

No. 73960 = $2^{3}$ × 5 × $43^{2}$ , so it is divisible by 2.

What are the factors of 73960?

1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720, 1849, 3698, 7396, 9245, 14792, 18490, 36980, 73960.

What is 73960 in binary?

10010000011101000 (hexadecimal 120E8, octal 220350).

What is the square root of 73960?

About 271.9559, exactly 86√10.

Is 73960 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 73960?

It is a composite number with 24 divisors.