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The number 54007

54007 is a composite number with 4 divisors. Its prime factorisation is 53 × 1019. Divisors (4): 1, 53, 1019, 54007.

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How to work it out

  1. 1

    What is special about 54007: a semiprime: 53 × 1019, the product of two primes.

  2. 2

    54007 is composite. Its prime factorisation is

    54007=53×101954007 = 53 \times 1019
  3. 3

    The divisors add up to 55080; without 54007 itself that is 1073, so 54007 is deficient (1073 is less than 54007). Euler's totient φ(54007) = 52936 numbers up to 54007 share no factor with it.

  4. 4

    The digits of 54007 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 54007 = 53 \times 1019 \]

54007 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors55080
Euler totient φ(n)52936
Square2916756049
Cube157525243938343
Square root232.394062
Digit sum / digital root16 / 7
Collatz steps to 191
Scientific notation5.4007 × 10410^{4}

54007 in other forms

FormValue
In wordsfifty-four thousand and seven
Binary (base 2)1101001011110111
Octal (base 8)151367
Hexadecimal (base 16)D2F7
Base 32202002021
As time54007 seconds = 15 h 0 min 7 s

Is 54007 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 3)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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 7)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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54007 a prime number?

No. 54007 = 53 × 1019, so it is divisible by 53.

What are the factors of 54007?

1, 53, 1019, 54007.

What is 54007 in binary?

1101001011110111 (hexadecimal D2F7, octal 151367).

What is the square root of 54007?

About 232.3941.

Is 54007 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 54007?

54007 is a semiprime: 53 × 1019, the product of two primes.

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