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The number 37381

37381 is a composite number with 4 divisors. Its prime factorisation is 29 × 1289. Divisors (4): 1, 29, 1289, 37381.

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How to work it out

  1. 1

    What is special about 37381: a semiprime: 29 × 1289, the product of two primes.

  2. 2

    37381 is composite. Its prime factorisation is

    37381=29×128937381 = 29 \times 1289
  3. 3

    The divisors add up to 38700; without 37381 itself that is 1319, so 37381 is deficient (1319 is less than 37381). Euler's totient φ(37381) = 36064 numbers up to 37381 share no factor with it.

  4. 4

    The digits of 37381 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 186 steps to reach 1.

LaTeX source of the formulas on this page
\[ 37381 = 29 \times 1289 \]

37381 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors38700
Euler totient φ(n)36064
Square1397339161
Cube52233935177341
Square root193.341666
Digit sum / digital root22 / 4
Collatz steps to 1186
Scientific notation3.7381 × 10410^{4}

37381 in other forms

FormValue
In wordsthirty-seven thousand three hundred and eighty-one
Binary (base 2)1001001000000101
Octal (base 8)111005
Hexadecimal (base 16)9205
Base 31220021111
As time37381 seconds = 10 h 23 min 1 s

Is 37381 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 1)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 1)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 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 37381 a prime number?

No. 37381 = 29 × 1289, so it is divisible by 29.

What are the factors of 37381?

1, 29, 1289, 37381.

What is 37381 in binary?

1001001000000101 (hexadecimal 9205, octal 111005).

What is the square root of 37381?

About 193.3417.

Is 37381 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 37381?

37381 is a semiprime: 29 × 1289, the product of two primes.

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    37381: is it prime? Factors, square root, binary, Roman numeral | WordGPT