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The number 68445

68445 is a composite number with 30 divisors. Its prime factorisation is 343^{4} × 5 × 13213^{2}. Divisors (30): 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 169, 195, 351 … 68445.

Number

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How to work it out

  1. 1

    What is special about 68445: a Harshad number: divisible by its digit sum 27.

  2. 2

    68445 is composite. Its prime factorisation is

    68445=34×5×13268445 = 3^{4} \times 5 \times 13^{2}
  3. 3

    The divisors add up to 132858; without 68445 itself that is 64413, so 68445 is deficient (64413 is less than 68445). Euler's totient φ(68445) = 33696 numbers up to 68445 share no factor with it.

  4. 4

    The digits of 68445 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 55 steps to reach 1.

LaTeX source of the formulas on this page
\[ 68445 = 3^{4} \times 5 \times 13^{2} \]

68445 at a glance

PropertyValue
Typecomposite
Number of divisors30
Sum of divisors132858
Euler totient φ(n)33696
Square4684718025
Cube320645525221125
Square root261.619953 (= 117√5)
Digit sum / digital root27 / 9
Collatz steps to 155
Scientific notation6.8445 × 10410^{4}

68445 in other forms

FormValue
In wordssixty-eight thousand four hundred and forty-five
Binary (base 2)10000101101011101
Octal (base 8)205535
Hexadecimal (base 16)10B5D
Base 310110220000
As time68445 seconds = 19 h 0 min 45 s

Is 68445 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (68445 ÷ 3 = 22815)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (68445 ÷ 5 = 13689)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (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.
8No (remainder 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (68445 ÷ 9 = 7605)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 68445 a prime number?

No. 68445 = 343^{4} × 5 × 13213^{2}, so it is divisible by 3.

What are the factors of 68445?

1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 169, 195, 351, 405, 507, 585, 845, 1053, 1521, 1755, 2535, 4563, 5265, 7605, 13689, 22815, 68445.

What is 68445 in binary?

10000101101011101 (hexadecimal 10B5D, octal 205535).

What is the square root of 68445?

About 261.6200, exactly 117√5.

Is 68445 divisible by 3?

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

What is special about the number 68445?

68445 is a Harshad number: divisible by its digit sum 27.

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