The number 71300

Q: Is 71300 a prime number?

No. 71300 = 2^2 × 5^2 × 23 × 31, so it is divisible by 2.

71300 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × $5^{2}$ × 23 × 31. Divisors (36): 1, 2, 4, 5, 10, 20, 23, 25, 31, 46, 50, 62, 92, 100, 115, 124 … 71300.

Number

Pick any whole number from 1 to 100,000.

71300 = 2^{2} \times 5^{2} \times 23 \times 31

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How to work it out

1
71300 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
71300 is composite. Its prime factorisation is
$71300 = 2^{2} \times 5^{2} \times 23 \times 31$
3
The divisors add up to 166656; without 71300 itself that is 95356, so 71300 is abundant (95356 is more than 71300). Euler's totient φ(71300) = 26400 numbers up to 71300 share no factor with it.
4
The digits of 71300 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 99 steps to reach 1.

LaTeX source of the formulas on this page

\[ 71300 = 2^{2} \times 5^{2} \times 23 \times 31 \]

71300 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	166656
Euler totient φ(n)	26400
Square	5083690000
Cube	362467097000000
Square root	267.020598 (= 10√713)
Digit sum / digital root	11 / 2
Collatz steps to 1	99
Scientific notation	7.13 × $10^{4}$

71300 in other forms

Form	Value
In words	seventy-one thousand three hundred
Binary (base 2)	10001011010000100
Octal (base 8)	213204
Hexadecimal (base 16)	11684
Base 3	10121210202
As time	71300 seconds = 19 h 48 min 20 s

Is 71300 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (71300 ÷ 2 = 35650)	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 (71300 ÷ 4 = 17825)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (71300 ÷ 5 = 14260)	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 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	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 (71300 ÷ 10 = 7130)	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 8)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 71300 a prime number?

No. 71300 = $2^{2}$ × $5^{2}$ × 23 × 31, so it is divisible by 2.

What are the factors of 71300?

1, 2, 4, 5, 10, 20, 23, 25, 31, 46, 50, 62, 92, 100, 115, 124, 155, 230, 310, 460, 575, 620, 713, 775, 1150, 1426, 1550, 2300, 2852, 3100, 3565, 7130, 14260, 17825, 35650, 71300.

What is 71300 in binary?

10001011010000100 (hexadecimal 11684, octal 213204).

What is the square root of 71300?

About 267.0206, exactly 10√713.

Is 71300 divisible by 3?

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

What is special about the number 71300?

It is a composite number with 36 divisors.