The number 67626

Q: Is 67626 a prime number?

No. 67626 = 2 × 3^2 × 13 × 17^2, so it is divisible by 2.

67626 is a composite number with 36 divisors. Its prime factorisation is 2 × $3^{2}$ × 13 × $17^{2}$ . Divisors (36): 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153 … 67626.

Number

Pick any whole number from 1 to 100,000.

67626 = 2 \times 3^{2} \times 13 \times 17^{2}

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How to work it out

1
67626 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
67626 is composite. Its prime factorisation is
$67626 = 2 \times 3^{2} \times 13 \times 17^{2}$
3
The divisors add up to 167622; without 67626 itself that is 99996, so 67626 is abundant (99996 is more than 67626). Euler's totient φ(67626) = 19584 numbers up to 67626 share no factor with it.
4
The digits of 67626 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page

\[ 67626 = 2 \times 3^{2} \times 13 \times 17^{2} \]

67626 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	167622
Euler totient φ(n)	19584
Square	4573275876
Cube	309272354390376
Square root	260.049995 (= 51√26)
Digit sum / digital root	27 / 9
Collatz steps to 1	86
Scientific notation	6.7626 × $10^{4}$

67626 in other forms

Form	Value
In words	sixty-seven thousand six hundred and twenty-six
Binary (base 2)	10000100000101010
Octal (base 8)	204052
Hexadecimal (base 16)	1082A
Base 3	10102202200
As time	67626 seconds = 18 h 47 min 6 s

Is 67626 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (67626 ÷ 2 = 33813)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (67626 ÷ 3 = 22542)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	No (remainder 2)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 1)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (67626 ÷ 6 = 11271)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 6)	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 2)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (67626 ÷ 9 = 7514)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 6)	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	No (remainder 6)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67626 a prime number?

No. 67626 = 2 × $3^{2}$ × 13 × $17^{2}$ , so it is divisible by 2.

What are the factors of 67626?

1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 289, 306, 442, 578, 663, 867, 1326, 1734, 1989, 2601, 3757, 3978, 5202, 7514, 11271, 22542, 33813, 67626.

What is 67626 in binary?

10000100000101010 (hexadecimal 1082A, octal 204052).

What is the square root of 67626?

About 260.0500, exactly 51√26.

Is 67626 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 67626?

It is a composite number with 36 divisors.