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The number 75007

75007 is a composite number with 4 divisors. Its prime factorisation is 107 × 701. Divisors (4): 1, 107, 701, 75007.

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How to work it out

  1. 1

    What is special about 75007: a semiprime: 107 × 701, the product of two primes.

  2. 2

    75007 is composite. Its prime factorisation is

    75007=107×70175007 = 107 \times 701
  3. 3

    The divisors add up to 75816; without 75007 itself that is 809, so 75007 is deficient (809 is less than 75007). Euler's totient φ(75007) = 74200 numbers up to 75007 share no factor with it.

  4. 4

    The digits of 75007 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 306 steps to reach 1.

LaTeX source of the formulas on this page
\[ 75007 = 107 \times 701 \]

75007 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors75816
Euler totient φ(n)74200
Square5626050049
Cube421993136025343
Square root273.874059
Digit sum / digital root19 / 1
Collatz steps to 1306
Scientific notation7.5007 × 10410^{4}

75007 in other forms

FormValue
In wordsseventy-five thousand and seven
Binary (base 2)10010010011111111
Octal (base 8)222377
Hexadecimal (base 16)124FF
Base 310210220001
As time75007 seconds = 20 h 50 min 7 s

Is 75007 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).
3No (remainder 1)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 1)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 1)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 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 75007 a prime number?

No. 75007 = 107 × 701, so it is divisible by 107.

What are the factors of 75007?

1, 107, 701, 75007.

What is 75007 in binary?

10010010011111111 (hexadecimal 124FF, octal 222377).

What is the square root of 75007?

About 273.8741.

Is 75007 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 75007?

75007 is a semiprime: 107 × 701, the product of two primes.

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