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The number 57677

57677 is a composite number with 4 divisors. Its prime factorisation is 137 × 421. Divisors (4): 1, 137, 421, 57677.

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How to work it out

  1. 1

    What is special about 57677: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 137 × 421, the product of two primes.

  2. 2

    57677 is composite. Its prime factorisation is

    57677=137×42157677 = 137 \times 421
  3. 3

    The divisors add up to 58236; without 57677 itself that is 559, so 57677 is deficient (559 is less than 57677). Euler's totient φ(57677) = 57120 numbers up to 57677 share no factor with it.

  4. 4

    The digits of 57677 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.

LaTeX source of the formulas on this page
\[ 57677 = 137 \times 421 \]

57677 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors58236
Euler totient φ(n)57120
Square3326636329
Cube191870403547733
Square root240.160363
Digit sum / digital root32 / 5
Collatz steps to 173
Scientific notation5.7677 × 10410^{4}

57677 in other forms

FormValue
In wordsfifty-seven thousand six hundred and seventy-seven
Binary (base 2)1110000101001101
Octal (base 8)160515
Hexadecimal (base 16)E14D
Base 32221010012
As time57677 seconds = 16 h 1 min 17 s

Is 57677 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 2)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 5)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 57677 a prime number?

No. 57677 = 137 × 421, so it is divisible by 137.

What are the factors of 57677?

1, 137, 421, 57677.

What is 57677 in binary?

1110000101001101 (hexadecimal E14D, octal 160515).

What is the square root of 57677?

About 240.1604.

Is 57677 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 57677?

57677 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 137 × 421, the product of two primes.

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    57677: is it prime? Factors, square root, binary, Roman numeral | WordGPT