WordGPT

The number 39001

39001 is a composite number with 4 divisors. Its prime factorisation is 43 × 907. Divisors (4): 1, 43, 907, 39001.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 39001: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 907, the product of two primes.

  2. 2

    39001 is composite. Its prime factorisation is

    39001=43×90739001 = 43 \times 907
  3. 3

    The divisors add up to 39952; without 39001 itself that is 951, so 39001 is deficient (951 is less than 39001). Euler's totient φ(39001) = 38052 numbers up to 39001 share no factor with it.

  4. 4

    The digits of 39001 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 39001 = 43 \times 907 \]

39001 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors39952
Euler totient φ(n)38052
Square1521078001
Cube59323563117001
Square root197.486708
Digit sum / digital root13 / 4
Collatz steps to 149
Scientific notation3.9001 × 10410^{4}

39001 in other forms

FormValue
In wordsthirty-nine thousand and one
Binary (base 2)1001100001011001
Octal (base 8)114131
Hexadecimal (base 16)9859
Base 31222111111
As time39001 seconds = 10 h 50 min 1 s

Is 39001 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 4)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 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 6)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 39001 a prime number?

No. 39001 = 43 × 907, so it is divisible by 43.

What are the factors of 39001?

1, 43, 907, 39001.

What is 39001 in binary?

1001100001011001 (hexadecimal 9859, octal 114131).

What is the square root of 39001?

About 197.4867.

Is 39001 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 39001?

39001 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 907, the product of two primes.

Find the next one

Nearby numbers

    39001: is it prime? Factors, square root, binary, Roman numeral | WordGPT