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The number 68007

68007 is a composite number with 4 divisors. Its prime factorisation is 3 × 22669. Divisors (4): 1, 3, 22669, 68007.

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How to work it out

  1. 1

    What is special about 68007: a semiprime: 3 × 22669, the product of two primes.

  2. 2

    68007 is composite. Its prime factorisation is

    68007=3×2266968007 = 3 \times 22669
  3. 3

    The divisors add up to 90680; without 68007 itself that is 22673, so 68007 is deficient (22673 is less than 68007). Euler's totient φ(68007) = 45336 numbers up to 68007 share no factor with it.

  4. 4

    The digits of 68007 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 68007 = 3 \times 22669 \]

68007 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors90680
Euler totient φ(n)45336
Square4624952049
Cube314529113996343
Square root260.781518
Digit sum / digital root21 / 3
Collatz steps to 186
Scientific notation6.8007 × 10410^{4}

68007 in other forms

FormValue
In wordssixty-eight thousand and seven
Binary (base 2)10000100110100111
Octal (base 8)204647
Hexadecimal (base 16)109A7
Base 310110021210
As time68007 seconds = 18 h 53 min 27 s

Is 68007 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 (68007 ÷ 3 = 22669)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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 2)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 68007 a prime number?

No. 68007 = 3 × 22669, so it is divisible by 3.

What are the factors of 68007?

1, 3, 22669, 68007.

What is 68007 in binary?

10000100110100111 (hexadecimal 109A7, octal 204647).

What is the square root of 68007?

About 260.7815.

Is 68007 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 68007?

68007 is a semiprime: 3 × 22669, the product of two primes.

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