The number 67032

Q: Is 67032 a prime number?

No. 67032 = 2^3 × 3^2 × 7^2 × 19, so it is divisible by 2.

67032 is a composite number with 72 divisors. Its prime factorisation is $2^{3}$ × $3^{2}$ × $7^{2}$ × 19. Divisors (72): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36 … 67032.

Number

Pick any whole number from 1 to 100,000.

67032 = 2^{3} \times 3^{2} \times 7^{2} \times 19

Explain it step by step in chat Make a short video of it

How to work it out

1
What is special about 67032: a Harshad number: divisible by its digit sum 18.
2
67032 is composite. Its prime factorisation is
$67032 = 2^{3} \times 3^{2} \times 7^{2} \times 19$
3
The divisors add up to 222300; without 67032 itself that is 155268, so 67032 is abundant (155268 is more than 67032). Euler's totient φ(67032) = 18144 numbers up to 67032 share no factor with it.
4
The digits of 67032 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.

LaTeX source of the formulas on this page

\[ 67032 = 2^{3} \times 3^{2} \times 7^{2} \times 19 \]

67032 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	222300
Euler totient φ(n)	18144
Square	4493289024
Cube	301194149856768
Square root	258.905388 (= 42√38)
Digit sum / digital root	18 / 9
Collatz steps to 1	161
Scientific notation	6.7032 × $10^{4}$

67032 in other forms

Form	Value
In words	sixty-seven thousand and thirty-two
Binary (base 2)	10000010111011000
Octal (base 8)	202730
Hexadecimal (base 16)	105D8
Base 3	10101221200
As time	67032 seconds = 18 h 37 min 12 s

Is 67032 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (67032 ÷ 2 = 33516)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (67032 ÷ 3 = 22344)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (67032 ÷ 4 = 16758)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 2)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (67032 ÷ 6 = 11172)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (67032 ÷ 7 = 9576)	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 (67032 ÷ 8 = 8379)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (67032 ÷ 9 = 7448)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 2)	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	Yes (67032 ÷ 12 = 5586)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67032 a prime number?

No. 67032 = $2^{3}$ × $3^{2}$ × $7^{2}$ × 19, so it is divisible by 2.

What are the factors of 67032?

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 49, 56, 57, 63, 72, 76, 84, 98, 114, 126, 133, 147, 152, 168, 171, 196, 228, 252, 266, 294, 342, 392, 399, 441, 456, 504, 532, 588, 684, 798, 882, 931, 1064, 1176, 1197, 1368, 1596, 1764, 1862, 2394, 2793, 3192, 3528, 3724, 4788, 5586, 7448, 8379, 9576, 11172, 16758, 22344, 33516, 67032.

What is 67032 in binary?

10000010111011000 (hexadecimal 105D8, octal 202730).

What is the square root of 67032?

About 258.9054, exactly 42√38.

Is 67032 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 67032?

67032 is a Harshad number: divisible by its digit sum 18.