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The number 51377

51377 is a composite number with 4 divisors. Its prime factorisation is 83 × 619. Divisors (4): 1, 83, 619, 51377.

Number

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How to work it out

  1. 1

    What is special about 51377: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 83 × 619, the product of two primes.

  2. 2

    51377 is composite. Its prime factorisation is

    51377=83×61951377 = 83 \times 619
  3. 3

    The divisors add up to 52080; without 51377 itself that is 703, so 51377 is deficient (703 is less than 51377). Euler's totient φ(51377) = 50676 numbers up to 51377 share no factor with it.

  4. 4

    The digits of 51377 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.

LaTeX source of the formulas on this page
\[ 51377 = 83 \times 619 \]

51377 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors52080
Euler totient φ(n)50676
Square2639596129
Cube135614530319633
Square root226.664951
Digit sum / digital root23 / 5
Collatz steps to 152
Scientific notation5.1377 × 10410^{4}

51377 in other forms

FormValue
In wordsfifty-one thousand three hundred and seventy-seven
Binary (base 2)1100100010110001
Octal (base 8)144261
Hexadecimal (base 16)C8B1
Base 32121110212
As time51377 seconds = 14 h 16 min 17 s

Is 51377 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 1)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 7)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 51377 a prime number?

No. 51377 = 83 × 619, so it is divisible by 83.

What are the factors of 51377?

1, 83, 619, 51377.

What is 51377 in binary?

1100100010110001 (hexadecimal C8B1, octal 144261).

What is the square root of 51377?

About 226.6650.

Is 51377 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 51377?

51377 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 83 × 619, the product of two primes.

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