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The number 10671

10671 is a composite number with 4 divisors. Its prime factorisation is 3 × 3557. Divisors (4): 1, 3, 3557, 10671.

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How to work it out

  1. 1

    What is special about 10671: a semiprime: 3 × 3557, the product of two primes.

  2. 2

    10671 is composite. Its prime factorisation is

    10671=3×355710671 = 3 \times 3557
  3. 3

    The divisors add up to 14232; without 10671 itself that is 3561, so 10671 is deficient (3561 is less than 10671). Euler's totient φ(10671) = 7112 numbers up to 10671 share no factor with it.

  4. 4

    The digits of 10671 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 10671 = 3 \times 3557 \]

10671 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors14232
Euler totient φ(n)7112
Square113870241
Cube1215109341711
Square root103.300532
Digit sum / digital root15 / 6
Collatz steps to 186
Scientific notation1.0671 × 10410^{4}

10671 in other forms

FormValue
In wordsten thousand six hundred and seventy-one
Binary (base 2)10100110101111
Octal (base 8)24657
Hexadecimal (base 16)29AF
Base 3112122020
As time10671 seconds = 2 h 57 min 51 s

Is 10671 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 (10671 ÷ 3 = 3557)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 1)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 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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)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 1)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 10671 a prime number?

No. 10671 = 3 × 3557, so it is divisible by 3.

What are the factors of 10671?

1, 3, 3557, 10671.

What is 10671 in binary?

10100110101111 (hexadecimal 29AF, octal 24657).

What is the square root of 10671?

About 103.3005.

Is 10671 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 10671?

10671 is a semiprime: 3 × 3557, the product of two primes.

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