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The number 14101

14101 is a composite number with 4 divisors. Its prime factorisation is 59 × 239. Divisors (4): 1, 59, 239, 14101.

Number

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How to work it out

  1. 1

    What is special about 14101: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 59 × 239, the product of two primes.

  2. 2

    14101 is composite. Its prime factorisation is

    14101=59×23914101 = 59 \times 239
  3. 3

    The divisors add up to 14400; without 14101 itself that is 299, so 14101 is deficient (299 is less than 14101). Euler's totient φ(14101) = 13804 numbers up to 14101 share no factor with it.

  4. 4

    The digits of 14101 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14101 = 59 \times 239 \]

14101 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors14400
Euler totient φ(n)13804
Square198838201
Cube2803817472301
Square root118.747632
Digit sum / digital root7 / 7
Collatz steps to 1120
Scientific notation1.4101 × 10410^{4}

14101 in other forms

FormValue
In wordsfourteen thousand one hundred and one
Binary (base 2)11011100010101
Octal (base 8)33425
Hexadecimal (base 16)3715
Base 3201100021
As time14101 seconds = 3 h 55 min 1 s

Is 14101 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 3)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 7)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 10)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 14101 a prime number?

No. 14101 = 59 × 239, so it is divisible by 59.

What are the factors of 14101?

1, 59, 239, 14101.

What is 14101 in binary?

11011100010101 (hexadecimal 3715, octal 33425).

What is the square root of 14101?

About 118.7476.

Is 14101 divisible by 3?

No. Its digits add up to 7, which is not a multiple of 3.

What is special about the number 14101?

14101 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 59 × 239, the product of two primes.

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    14101: is it prime? Factors, square root, binary, Roman numeral | WordGPT