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The number 80007

80007 is a composite number with 4 divisors. Its prime factorisation is 3 × 26669. Divisors (4): 1, 3, 26669, 80007.

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How to work it out

  1. 1

    What is special about 80007: a semiprime: 3 × 26669, the product of two primes.

  2. 2

    80007 is composite. Its prime factorisation is

    80007=3×2666980007 = 3 \times 26669
  3. 3

    The divisors add up to 106680; without 80007 itself that is 26673, so 80007 is deficient (26673 is less than 80007). Euler's totient φ(80007) = 53336 numbers up to 80007 share no factor with it.

  4. 4

    The digits of 80007 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80007 = 3 \times 26669 \]

80007 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors106680
Euler totient φ(n)53336
Square6401120049
Cube512134411760343
Square root282.855087
Digit sum / digital root15 / 6
Collatz steps to 194
Scientific notation8.0007 × 10410^{4}

80007 in other forms

FormValue
In wordseighty thousand and seven
Binary (base 2)10011100010000111
Octal (base 8)234207
Hexadecimal (base 16)13887
Base 311001202020
As time80007 seconds = 22 h 13 min 27 s

Is 80007 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 (80007 ÷ 3 = 26669)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 4)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 6)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 4)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 80007 a prime number?

No. 80007 = 3 × 26669, so it is divisible by 3.

What are the factors of 80007?

1, 3, 26669, 80007.

What is 80007 in binary?

10011100010000111 (hexadecimal 13887, octal 234207).

What is the square root of 80007?

About 282.8551.

Is 80007 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 80007?

80007 is a semiprime: 3 × 26669, the product of two primes.

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