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The number 51007

51007 is a composite number with 4 divisors. Its prime factorisation is 11 × 4637. Divisors (4): 1, 11, 4637, 51007.

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How to work it out

  1. 1

    What is special about 51007: a semiprime: 11 × 4637, the product of two primes.

  2. 2

    51007 is composite. Its prime factorisation is

    51007=11×463751007 = 11 \times 4637
  3. 3

    The divisors add up to 55656; without 51007 itself that is 4649, so 51007 is deficient (4649 is less than 51007). Euler's totient φ(51007) = 46360 numbers up to 51007 share no factor with it.

  4. 4

    The digits of 51007 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 202 steps to reach 1.

LaTeX source of the formulas on this page
\[ 51007 = 11 \times 4637 \]

51007 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors55656
Euler totient φ(n)46360
Square2601714049
Cube132705628497343
Square root225.847294
Digit sum / digital root13 / 4
Collatz steps to 1202
Scientific notation5.1007 × 10410^{4}

51007 in other forms

FormValue
In wordsfifty-one thousand and seven
Binary (base 2)1100011100111111
Octal (base 8)143477
Hexadecimal (base 16)C73F
Base 32120222011
As time51007 seconds = 14 h 10 min 7 s

Is 51007 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 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 7)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 7)A number is divisible by 10 if the last digit is 0.
11Yes (51007 ÷ 11 = 4637)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 51007 a prime number?

No. 51007 = 11 × 4637, so it is divisible by 11.

What are the factors of 51007?

1, 11, 4637, 51007.

What is 51007 in binary?

1100011100111111 (hexadecimal C73F, octal 143477).

What is the square root of 51007?

About 225.8473.

Is 51007 divisible by 3?

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

What is special about the number 51007?

51007 is a semiprime: 11 × 4637, the product of two primes.

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