The number 71100

Q: Is 71100 a prime number?

No. 71100 = 2^2 × 3^2 × 5^2 × 79, so it is divisible by 2.

71100 is a composite number with 54 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × $5^{2}$ × 79. Divisors (54): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45 … 71100.

Number

Pick any whole number from 1 to 100,000.

71100 = 2^{2} \times 3^{2} \times 5^{2} \times 79

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How to work it out

1
What is special about 71100: a Harshad number: divisible by its digit sum 9.
2
71100 is composite. Its prime factorisation is
$71100 = 2^{2} \times 3^{2} \times 5^{2} \times 79$
3
The divisors add up to 225680; without 71100 itself that is 154580, so 71100 is abundant (154580 is more than 71100). Euler's totient φ(71100) = 18720 numbers up to 71100 share no factor with it.
4
The digits of 71100 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.

LaTeX source of the formulas on this page

\[ 71100 = 2^{2} \times 3^{2} \times 5^{2} \times 79 \]

71100 at a glance

Property	Value
Type	composite
Number of divisors	54
Sum of divisors	225680
Euler totient φ(n)	18720
Square	5055210000
Cube	359425431000000
Square root	266.645833 (= 30√79)
Digit sum / digital root	9 / 9
Collatz steps to 1	73
Scientific notation	7.11 × $10^{4}$

71100 in other forms

Form	Value
In words	seventy-one thousand one hundred
Binary (base 2)	10001010110111100
Octal (base 8)	212674
Hexadecimal (base 16)	115BC
Base 3	10121112100
As time	71100 seconds = 19 h 45 min 0 s

Is 71100 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (71100 ÷ 2 = 35550)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (71100 ÷ 3 = 23700)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (71100 ÷ 4 = 17775)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (71100 ÷ 5 = 14220)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (71100 ÷ 6 = 11850)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 1)	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	Yes (71100 ÷ 9 = 7900)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (71100 ÷ 10 = 7110)	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	Yes (71100 ÷ 12 = 5925)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 71100 a prime number?

No. 71100 = $2^{2}$ × $3^{2}$ × $5^{2}$ × 79, so it is divisible by 2.

What are the factors of 71100?

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 79, 90, 100, 150, 158, 180, 225, 237, 300, 316, 395, 450, 474, 711, 790, 900, 948, 1185, 1422, 1580, 1975, 2370, 2844, 3555, 3950, 4740, 5925, 7110, 7900, 11850, 14220, 17775, 23700, 35550, 71100.

What is 71100 in binary?

10001010110111100 (hexadecimal 115BC, octal 212674).

What is the square root of 71100?

About 266.6458, exactly 30√79.

Is 71100 divisible by 3?

Yes. Its digits add up to 9, a multiple of 3.

What is special about the number 71100?

71100 is a Harshad number: divisible by its digit sum 9.