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The number 8137

8137 is a composite number with 4 divisors. Its prime factorisation is 79 × 103. Divisors (4): 1, 79, 103, 8137.

Number

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How to work it out

  1. 1

    What is special about 8137: a semiprime: 79 × 103, the product of two primes.

  2. 2

    8137 is composite. Its prime factorisation is

    8137=79×1038137 = 79 \times 103
  3. 3

    The divisors add up to 8320; without 8137 itself that is 183, so 8137 is deficient (183 is less than 8137). Euler's totient φ(8137) = 7956 numbers up to 8137 share no factor with it.

  4. 4

    The digits of 8137 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 158 steps to reach 1.

LaTeX source of the formulas on this page
\[ 8137 = 79 \times 103 \]

8137 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors8320
Euler totient φ(n)7956
Square66210769
Cube538757027353
Square root90.205321
Digit sum / digital root19 / 1
Collatz steps to 1158
Scientific notation8.137 × 10310^{3}

8137 in other forms

FormValue
In wordseight thousand one hundred and thirty-seven
Binary (base 2)1111111001001
Octal (base 8)17711
Hexadecimal (base 16)1FC9
Base 3102011101
As time8137 seconds = 2 h 15 min 37 s

Is 8137 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 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 3)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 1)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 8)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 8137 a prime number?

No. 8137 = 79 × 103, so it is divisible by 79.

What are the factors of 8137?

1, 79, 103, 8137.

What is 8137 in binary?

1111111001001 (hexadecimal 1FC9, octal 17711).

What is the square root of 8137?

About 90.2053.

Is 8137 divisible by 3?

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

What is special about the number 8137?

8137 is a semiprime: 79 × 103, the product of two primes.

All about 8137

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