The number 71484

Q: Is 71484 a prime number?

No. 71484 = 2^2 × 3 × 7 × 23 × 37, so it is divisible by 2.

71484 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 7 × 23 × 37. Divisors (48): 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 37, 42, 46, 69, 74 … 71484.

Number

Pick any whole number from 1 to 100,000.

71484 = 2^{2} \times 3 \times 7 \times 23 \times 37

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How to work it out

1
71484 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
71484 is composite. Its prime factorisation is
$71484 = 2^{2} \times 3 \times 7 \times 23 \times 37$
3
The divisors add up to 204288; without 71484 itself that is 132804, so 71484 is abundant (132804 is more than 71484). Euler's totient φ(71484) = 19008 numbers up to 71484 share no factor with it.
4
The digits of 71484 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.

LaTeX source of the formulas on this page

\[ 71484 = 2^{2} \times 3 \times 7 \times 23 \times 37 \]

71484 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	204288
Euler totient φ(n)	19008
Square	5109962256
Cube	365280541907904
Square root	267.364919 (= 2√17871)
Digit sum / digital root	24 / 6
Collatz steps to 1	112
Scientific notation	7.1484 × $10^{4}$

71484 in other forms

Form	Value
In words	seventy-one thousand four hundred and eighty-four
Binary (base 2)	10001011100111100
Octal (base 8)	213474
Hexadecimal (base 16)	1173C
Base 3	10122001120
As time	71484 seconds = 19 h 51 min 24 s

Is 71484 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (71484 ÷ 2 = 35742)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (71484 ÷ 3 = 23828)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (71484 ÷ 4 = 17871)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 4)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (71484 ÷ 6 = 11914)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (71484 ÷ 7 = 10212)	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 6)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 4)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 6)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (71484 ÷ 12 = 5957)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 71484 a prime number?

No. 71484 = $2^{2}$ × 3 × 7 × 23 × 37, so it is divisible by 2.

What are the factors of 71484?

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 37, 42, 46, 69, 74, 84, 92, 111, 138, 148, 161, 222, 259, 276, 322, 444, 483, 518, 644, 777, 851, 966, 1036, 1554, 1702, 1932, 2553, 3108, 3404, 5106, 5957, 10212, 11914, 17871, 23828, 35742, 71484.

What is 71484 in binary?

10001011100111100 (hexadecimal 1173C, octal 213474).

What is the square root of 71484?

About 267.3649, exactly 2√17871.

Is 71484 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 71484?

It is a composite number with 48 divisors.