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The number 41007

41007 is a composite number with 4 divisors. Its prime factorisation is 3 × 13669. Divisors (4): 1, 3, 13669, 41007.

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How to work it out

  1. 1

    What is special about 41007: a semiprime: 3 × 13669, the product of two primes.

  2. 2

    41007 is composite. Its prime factorisation is

    41007=3×1366941007 = 3 \times 13669
  3. 3

    The divisors add up to 54680; without 41007 itself that is 13673, so 41007 is deficient (13673 is less than 41007). Euler's totient φ(41007) = 27336 numbers up to 41007 share no factor with it.

  4. 4

    The digits of 41007 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41007 = 3 \times 13669 \]

41007 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors54680
Euler totient φ(n)27336
Square1681574049
Cube68956307027343
Square root202.501852
Digit sum / digital root12 / 3
Collatz steps to 1119
Scientific notation4.1007 × 10410^{4}

41007 in other forms

FormValue
In wordsforty-one thousand and seven
Binary (base 2)1010000000101111
Octal (base 8)120057
Hexadecimal (base 16)A02F
Base 32002020210
As time41007 seconds = 11 h 23 min 27 s

Is 41007 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).
3Yes (41007 ÷ 3 = 13669)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 3)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 41007 a prime number?

No. 41007 = 3 × 13669, so it is divisible by 3.

What are the factors of 41007?

1, 3, 13669, 41007.

What is 41007 in binary?

1010000000101111 (hexadecimal A02F, octal 120057).

What is the square root of 41007?

About 202.5019.

Is 41007 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 41007?

41007 is a semiprime: 3 × 13669, the product of two primes.

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