The number 71148

Q: Is 71148 a prime number?

No. 71148 = 2^2 × 3 × 7^2 × 11^2, so it is divisible by 2.

71148 is a composite number with 54 divisors. Its prime factorisation is $2^{2}$ × 3 × $7^{2}$ × $11^{2}$ . Divisors (54): 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 49 … 71148.

Number

Pick any whole number from 1 to 100,000.

71148 = 2^{2} \times 3 \times 7^{2} \times 11^{2}

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How to work it out

1
What is special about 71148: a Harshad number: divisible by its digit sum 21.
2
71148 is composite. Its prime factorisation is
$71148 = 2^{2} \times 3 \times 7^{2} \times 11^{2}$
3
The divisors add up to 212268; without 71148 itself that is 141120, so 71148 is abundant (141120 is more than 71148). Euler's totient φ(71148) = 18480 numbers up to 71148 share no factor with it.
4
The digits of 71148 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.

LaTeX source of the formulas on this page

\[ 71148 = 2^{2} \times 3 \times 7^{2} \times 11^{2} \]

71148 at a glance

Property	Value
Type	composite
Number of divisors	54
Sum of divisors	212268
Euler totient φ(n)	18480
Square	5062037904
Cube	360153872793792
Square root	266.735824 (= 154√3)
Digit sum / digital root	21 / 3
Collatz steps to 1	187
Scientific notation	7.1148 × $10^{4}$

71148 in other forms

Form	Value
In words	seventy-one thousand one hundred and forty-eight
Binary (base 2)	10001010111101100
Octal (base 8)	212754
Hexadecimal (base 16)	115EC
Base 3	10121121010
As time	71148 seconds = 19 h 45 min 48 s

Is 71148 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (71148 ÷ 2 = 35574)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (71148 ÷ 3 = 23716)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (71148 ÷ 4 = 17787)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 3)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (71148 ÷ 6 = 11858)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (71148 ÷ 7 = 10164)	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 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 8)	A number is divisible by 10 if the last digit is 0.
11	Yes (71148 ÷ 11 = 6468)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (71148 ÷ 12 = 5929)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 71148 a prime number?

No. 71148 = $2^{2}$ × 3 × $7^{2}$ × $11^{2}$ , so it is divisible by 2.

What are the factors of 71148?

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 49, 66, 77, 84, 98, 121, 132, 147, 154, 196, 231, 242, 294, 308, 363, 462, 484, 539, 588, 726, 847, 924, 1078, 1452, 1617, 1694, 2156, 2541, 3234, 3388, 5082, 5929, 6468, 10164, 11858, 17787, 23716, 35574, 71148.

What is 71148 in binary?

10001010111101100 (hexadecimal 115EC, octal 212754).

What is the square root of 71148?

About 266.7358, exactly 154√3.

Is 71148 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 71148?

71148 is a Harshad number: divisible by its digit sum 21.