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The number 67418

67418 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 2593. Divisors (8): 1, 2, 13, 26, 2593, 5186, 33709, 67418.

Number

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How to work it out

  1. 1

    What is special about 67418: a Harshad number: divisible by its digit sum 26.

  2. 2

    67418 is composite. Its prime factorisation is

    67418=2×13×259367418 = 2 \times 13 \times 2593
  3. 3

    The divisors add up to 108948; without 67418 itself that is 41530, so 67418 is deficient (41530 is less than 67418). Euler's totient φ(67418) = 31104 numbers up to 67418 share no factor with it.

  4. 4

    The digits of 67418 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.

LaTeX source of the formulas on this page
\[ 67418 = 2 \times 13 \times 2593 \]

67418 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors108948
Euler totient φ(n)31104
Square4545186724
Cube306427398558632
Square root259.649764
Digit sum / digital root26 / 8
Collatz steps to 1161
Scientific notation6.7418 × 10410^{4}

67418 in other forms

FormValue
In wordssixty-seven thousand four hundred and eighteen
Binary (base 2)10000011101011010
Octal (base 8)203532
Hexadecimal (base 16)1075A
Base 310102110222
As time67418 seconds = 18 h 43 min 38 s

Is 67418 divisible by 2 to 12?

DivisorAnswerRule
2Yes (67418 ÷ 2 = 33709)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 67418 a prime number?

No. 67418 = 2 × 13 × 2593, so it is divisible by 2.

What are the factors of 67418?

1, 2, 13, 26, 2593, 5186, 33709, 67418.

What is 67418 in binary?

10000011101011010 (hexadecimal 1075A, octal 203532).

What is the square root of 67418?

About 259.6498.

Is 67418 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 67418?

67418 is a Harshad number: divisible by its digit sum 26.

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