The number 73700

Q: Is 73700 a prime number?

No. 73700 = 2^2 × 5^2 × 11 × 67, so it is divisible by 2.

73700 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × $5^{2}$ × 11 × 67. Divisors (36): 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 67, 100, 110, 134 … 73700.

Number

Pick any whole number from 1 to 100,000.

73700 = 2^{2} \times 5^{2} \times 11 \times 67

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How to work it out

1
73700 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
73700 is composite. Its prime factorisation is
$73700 = 2^{2} \times 5^{2} \times 11 \times 67$
3
The divisors add up to 177072; without 73700 itself that is 103372, so 73700 is abundant (103372 is more than 73700). Euler's totient φ(73700) = 26400 numbers up to 73700 share no factor with it.
4
The digits of 73700 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.

LaTeX source of the formulas on this page

\[ 73700 = 2^{2} \times 5^{2} \times 11 \times 67 \]

73700 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	177072
Euler totient φ(n)	26400
Square	5431690000
Cube	400315553000000
Square root	271.477439 (= 10√737)
Digit sum / digital root	17 / 8
Collatz steps to 1	68
Scientific notation	7.37 × $10^{4}$

73700 in other forms

Form	Value
In words	seventy-three thousand seven hundred
Binary (base 2)	10001111111100100
Octal (base 8)	217744
Hexadecimal (base 16)	11FE4
Base 3	10202002122
As time	73700 seconds = 20 h 28 min 20 s

Is 73700 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (73700 ÷ 2 = 36850)	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 (73700 ÷ 4 = 18425)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (73700 ÷ 5 = 14740)	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 4)	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 8)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (73700 ÷ 10 = 7370)	A number is divisible by 10 if the last digit is 0.
11	Yes (73700 ÷ 11 = 6700)	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 73700 a prime number?

No. 73700 = $2^{2}$ × $5^{2}$ × 11 × 67, so it is divisible by 2.

What are the factors of 73700?

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 67, 100, 110, 134, 220, 268, 275, 335, 550, 670, 737, 1100, 1340, 1474, 1675, 2948, 3350, 3685, 6700, 7370, 14740, 18425, 36850, 73700.

What is 73700 in binary?

10001111111100100 (hexadecimal 11FE4, octal 217744).

What is the square root of 73700?

About 271.4774, exactly 10√737.

Is 73700 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 73700?

It is a composite number with 36 divisors.