The number 73100

Q: Is 73100 a prime number?

No. 73100 = 2^2 × 5^2 × 17 × 43, so it is divisible by 2.

73100 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × $5^{2}$ × 17 × 43. Divisors (36): 1, 2, 4, 5, 10, 17, 20, 25, 34, 43, 50, 68, 85, 86, 100, 170 … 73100.

Number

Pick any whole number from 1 to 100,000.

73100 = 2^{2} \times 5^{2} \times 17 \times 43

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How to work it out

1
73100 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
73100 is composite. Its prime factorisation is
$73100 = 2^{2} \times 5^{2} \times 17 \times 43$
3
The divisors add up to 171864; without 73100 itself that is 98764, so 73100 is abundant (98764 is more than 73100). Euler's totient φ(73100) = 26880 numbers up to 73100 share no factor with it.
4
The digits of 73100 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.

LaTeX source of the formulas on this page

\[ 73100 = 2^{2} \times 5^{2} \times 17 \times 43 \]

73100 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	171864
Euler totient φ(n)	26880
Square	5343610000
Cube	390617891000000
Square root	270.370117 (= 10√731)
Digit sum / digital root	11 / 2
Collatz steps to 1	37
Scientific notation	7.31 × $10^{4}$

73100 in other forms

Form	Value
In words	seventy-three thousand one hundred
Binary (base 2)	10001110110001100
Octal (base 8)	216614
Hexadecimal (base 16)	11D8C
Base 3	10201021102
As time	73100 seconds = 20 h 18 min 20 s

Is 73100 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (73100 ÷ 2 = 36550)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 2)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (73100 ÷ 4 = 18275)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (73100 ÷ 5 = 14620)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 2)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 6)	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 2)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (73100 ÷ 10 = 7310)	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	No (remainder 8)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 73100 a prime number?

No. 73100 = $2^{2}$ × $5^{2}$ × 17 × 43, so it is divisible by 2.

What are the factors of 73100?

1, 2, 4, 5, 10, 17, 20, 25, 34, 43, 50, 68, 85, 86, 100, 170, 172, 215, 340, 425, 430, 731, 850, 860, 1075, 1462, 1700, 2150, 2924, 3655, 4300, 7310, 14620, 18275, 36550, 73100.

What is 73100 in binary?

10001110110001100 (hexadecimal 11D8C, octal 216614).

What is the square root of 73100?

About 270.3701, exactly 10√731.

Is 73100 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 73100?

It is a composite number with 36 divisors.