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The number 76309

76309 is a composite number with 4 divisors. Its prime factorisation is 137 × 557. Divisors (4): 1, 137, 557, 76309.

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How to work it out

  1. 1

    What is special about 76309: a semiprime: 137 × 557, the product of two primes.

  2. 2

    76309 is composite. Its prime factorisation is

    76309=137×55776309 = 137 \times 557
  3. 3

    The divisors add up to 77004; without 76309 itself that is 695, so 76309 is deficient (695 is less than 76309). Euler's totient φ(76309) = 75616 numbers up to 76309 share no factor with it.

  4. 4

    The digits of 76309 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76309 = 137 \times 557 \]

76309 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors77004
Euler totient φ(n)75616
Square5823063481
Cube444352151171629
Square root276.240837
Digit sum / digital root25 / 7
Collatz steps to 181
Scientific notation7.6309 × 10410^{4}

76309 in other forms

FormValue
In wordsseventy-six thousand three hundred and nine
Binary (base 2)10010101000010101
Octal (base 8)225025
Hexadecimal (base 16)12A15
Base 310212200021
As time76309 seconds = 21 h 11 min 49 s

Is 76309 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 76309 a prime number?

No. 76309 = 137 × 557, so it is divisible by 137.

What are the factors of 76309?

1, 137, 557, 76309.

What is 76309 in binary?

10010101000010101 (hexadecimal 12A15, octal 225025).

What is the square root of 76309?

About 276.2408.

Is 76309 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 76309?

76309 is a semiprime: 137 × 557, the product of two primes.

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