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The number 31287

31287 is a composite number with 4 divisors. Its prime factorisation is 3 × 10429. Divisors (4): 1, 3, 10429, 31287.

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How to work it out

  1. 1

    What is special about 31287: a semiprime: 3 × 10429, the product of two primes.

  2. 2

    31287 is composite. Its prime factorisation is

    31287=3×1042931287 = 3 \times 10429
  3. 3

    The divisors add up to 41720; without 31287 itself that is 10433, so 31287 is deficient (10433 is less than 31287). Euler's totient φ(31287) = 20856 numbers up to 31287 share no factor with it.

  4. 4

    The digits of 31287 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31287 = 3 \times 10429 \]

31287 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors41720
Euler totient φ(n)20856
Square978876369
Cube30626104956903
Square root176.881316
Digit sum / digital root21 / 3
Collatz steps to 1147
Scientific notation3.1287 × 10410^{4}

31287 in other forms

FormValue
In wordsthirty-one thousand two hundred and eighty-seven
Binary (base 2)111101000110111
Octal (base 8)75067
Hexadecimal (base 16)7A37
Base 31120220210
As time31287 seconds = 8 h 41 min 27 s

Is 31287 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 (31287 ÷ 3 = 10429)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 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 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 3)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 31287 a prime number?

No. 31287 = 3 × 10429, so it is divisible by 3.

What are the factors of 31287?

1, 3, 10429, 31287.

What is 31287 in binary?

111101000110111 (hexadecimal 7A37, octal 75067).

What is the square root of 31287?

About 176.8813.

Is 31287 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 31287?

31287 is a semiprime: 3 × 10429, the product of two primes.

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