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The number 13942

13942 is a composite number with 4 divisors. Its prime factorisation is 2 × 6971. Divisors (4): 1, 2, 6971, 13942.

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How to work it out

  1. 1

    What is special about 13942: a semiprime: 2 × 6971, the product of two primes.

  2. 2

    13942 is composite. Its prime factorisation is

    13942=2×697113942 = 2 \times 6971
  3. 3

    The divisors add up to 20916; without 13942 itself that is 6974, so 13942 is deficient (6974 is less than 13942). Euler's totient φ(13942) = 6970 numbers up to 13942 share no factor with it.

  4. 4

    The digits of 13942 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 58 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13942 = 2 \times 6971 \]

13942 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors20916
Euler totient φ(n)6970
Square194379364
Cube2710037092888
Square root118.076247
Digit sum / digital root19 / 1
Collatz steps to 158
Scientific notation1.3942 × 10410^{4}

13942 in other forms

FormValue
In wordsthirteen thousand nine hundred and forty-two
Binary (base 2)11011001110110
Octal (base 8)33166
Hexadecimal (base 16)3676
Base 3201010101
As time13942 seconds = 3 h 52 min 22 s

Is 13942 divisible by 2 to 12?

DivisorAnswerRule
2Yes (13942 ÷ 2 = 6971)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 2)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 6)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 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 13942 a prime number?

No. 13942 = 2 × 6971, so it is divisible by 2.

What are the factors of 13942?

1, 2, 6971, 13942.

What is 13942 in binary?

11011001110110 (hexadecimal 3676, octal 33166).

What is the square root of 13942?

About 118.0762.

Is 13942 divisible by 3?

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

What is special about the number 13942?

13942 is a semiprime: 2 × 6971, the product of two primes.

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