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The number 38949

38949 is a composite number with 4 divisors. Its prime factorisation is 3 × 12983. Divisors (4): 1, 3, 12983, 38949.

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How to work it out

  1. 1

    What is special about 38949: a semiprime: 3 × 12983, the product of two primes.

  2. 2

    38949 is composite. Its prime factorisation is

    38949=3×1298338949 = 3 \times 12983
  3. 3

    The divisors add up to 51936; without 38949 itself that is 12987, so 38949 is deficient (12987 is less than 38949). Euler's totient φ(38949) = 25964 numbers up to 38949 share no factor with it.

  4. 4

    The digits of 38949 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38949 = 3 \times 12983 \]

38949 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors51936
Euler totient φ(n)25964
Square1517024601
Cube59086591184349
Square root197.355010
Digit sum / digital root33 / 6
Collatz steps to 1168
Scientific notation3.8949 × 10410^{4}

38949 in other forms

FormValue
In wordsthirty-eight thousand nine hundred and forty-nine
Binary (base 2)1001100000100101
Octal (base 8)114045
Hexadecimal (base 16)9825
Base 31222102120
As time38949 seconds = 10 h 49 min 9 s

Is 38949 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).
3Yes (38949 ÷ 3 = 12983)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38949 a prime number?

No. 38949 = 3 × 12983, so it is divisible by 3.

What are the factors of 38949?

1, 3, 12983, 38949.

What is 38949 in binary?

1001100000100101 (hexadecimal 9825, octal 114045).

What is the square root of 38949?

About 197.3550.

Is 38949 divisible by 3?

Yes. Its digits add up to 33, a multiple of 3.

What is special about the number 38949?

38949 is a semiprime: 3 × 12983, the product of two primes.

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    38949: is it prime? Factors, square root, binary, Roman numeral | WordGPT