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The number 10371

10371 is a composite number with 4 divisors. Its prime factorisation is 3 × 3457. Divisors (4): 1, 3, 3457, 10371.

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How to work it out

  1. 1

    What is special about 10371: a semiprime: 3 × 3457, the product of two primes.

  2. 2

    10371 is composite. Its prime factorisation is

    10371=3×345710371 = 3 \times 3457
  3. 3

    The divisors add up to 13832; without 10371 itself that is 3461, so 10371 is deficient (3461 is less than 10371). Euler's totient φ(10371) = 6912 numbers up to 10371 share no factor with it.

  4. 4

    The digits of 10371 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 42 steps to reach 1.

LaTeX source of the formulas on this page
\[ 10371 = 3 \times 3457 \]

10371 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors13832
Euler totient φ(n)6912
Square107557641
Cube1115480294811
Square root101.838107
Digit sum / digital root12 / 3
Collatz steps to 142
Scientific notation1.0371 × 10410^{4}

10371 in other forms

FormValue
In wordsten thousand three hundred and seventy-one
Binary (base 2)10100010000011
Octal (base 8)24203
Hexadecimal (base 16)2883
Base 3112020010
As time10371 seconds = 2 h 52 min 51 s

Is 10371 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 (10371 ÷ 3 = 3457)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 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 3)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 10371 a prime number?

No. 10371 = 3 × 3457, so it is divisible by 3.

What are the factors of 10371?

1, 3, 3457, 10371.

What is 10371 in binary?

10100010000011 (hexadecimal 2883, octal 24203).

What is the square root of 10371?

About 101.8381.

Is 10371 divisible by 3?

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

What is special about the number 10371?

10371 is a semiprime: 3 × 3457, the product of two primes.

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