The number 67704

Q: Is 67704 a prime number?

No. 67704 = 2^3 × 3 × 7 × 13 × 31, so it is divisible by 2.

67704 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 7 × 13 × 31. Divisors (64): 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 31, 39 … 67704.

Number

Pick any whole number from 1 to 100,000.

67704 = 2^{3} \times 3 \times 7 \times 13 \times 31

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How to work it out

1
What is special about 67704: a Harshad number: divisible by its digit sum 24.
2
67704 is composite. Its prime factorisation is
$67704 = 2^{3} \times 3 \times 7 \times 13 \times 31$
3
The divisors add up to 215040; without 67704 itself that is 147336, so 67704 is abundant (147336 is more than 67704). Euler's totient φ(67704) = 17280 numbers up to 67704 share no factor with it.
4
The digits of 67704 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 42 steps to reach 1.

LaTeX source of the formulas on this page

\[ 67704 = 2^{3} \times 3 \times 7 \times 13 \times 31 \]

67704 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	215040
Euler totient φ(n)	17280
Square	4583831616
Cube	310343735729664
Square root	260.199923 (= 2√16926)
Digit sum / digital root	24 / 6
Collatz steps to 1	42
Scientific notation	6.7704 × $10^{4}$

67704 in other forms

Form	Value
In words	sixty-seven thousand seven hundred and four
Binary (base 2)	10000100001111000
Octal (base 8)	204170
Hexadecimal (base 16)	10878
Base 3	10102212120
As time	67704 seconds = 18 h 48 min 24 s

Is 67704 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (67704 ÷ 2 = 33852)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (67704 ÷ 3 = 22568)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (67704 ÷ 4 = 16926)	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 (67704 ÷ 6 = 11284)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (67704 ÷ 7 = 9672)	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	Yes (67704 ÷ 8 = 8463)	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 10)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (67704 ÷ 12 = 5642)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67704 a prime number?

No. 67704 = $2^{3}$ × 3 × 7 × 13 × 31, so it is divisible by 2.

What are the factors of 67704?

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 31, 39, 42, 52, 56, 62, 78, 84, 91, 93, 104, 124, 156, 168, 182, 186, 217, 248, 273, 312, 364, 372, 403, 434, 546, 651, 728, 744, 806, 868, 1092, 1209, 1302, 1612, 1736, 2184, 2418, 2604, 2821, 3224, 4836, 5208, 5642, 8463, 9672, 11284, 16926, 22568, 33852, 67704.

What is 67704 in binary?

10000100001111000 (hexadecimal 10878, octal 204170).

What is the square root of 67704?

About 260.1999, exactly 2√16926.

Is 67704 divisible by 3?

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

What is special about the number 67704?

67704 is a Harshad number: divisible by its digit sum 24.