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The number 11377

11377 is a composite number with 4 divisors. Its prime factorisation is 31 × 367. Divisors (4): 1, 31, 367, 11377.

Number

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How to work it out

  1. 1

    What is special about 11377: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 367, the product of two primes.

  2. 2

    11377 is composite. Its prime factorisation is

    11377=31×36711377 = 31 \times 367
  3. 3

    The divisors add up to 11776; without 11377 itself that is 399, so 11377 is deficient (399 is less than 11377). Euler's totient φ(11377) = 10980 numbers up to 11377 share no factor with it.

  4. 4

    The digits of 11377 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 37 steps to reach 1.

LaTeX source of the formulas on this page
\[ 11377 = 31 \times 367 \]

11377 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors11776
Euler totient φ(n)10980
Square129436129
Cube1472594839633
Square root106.663021
Digit sum / digital root19 / 1
Collatz steps to 137
Scientific notation1.1377 × 10410^{4}

11377 in other forms

FormValue
In wordseleven thousand three hundred and seventy-seven
Binary (base 2)10110001110001
Octal (base 8)26161
Hexadecimal (base 16)2C71
Base 3120121101
As time11377 seconds = 3 h 9 min 37 s

Is 11377 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 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 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 3)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 11377 a prime number?

No. 11377 = 31 × 367, so it is divisible by 31.

What are the factors of 11377?

1, 31, 367, 11377.

What is 11377 in binary?

10110001110001 (hexadecimal 2C71, octal 26161).

What is the square root of 11377?

About 106.6630.

Is 11377 divisible by 3?

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

What is special about the number 11377?

11377 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 367, the product of two primes.

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