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The number 31550

31550 is a composite number with 12 divisors. Its prime factorisation is 2 × 525^{2} × 631. Divisors (12): 1, 2, 5, 10, 25, 50, 631, 1262, 3155, 6310, 15775, 31550.

Number

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How to work it out

  1. 1

    31550 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    31550 is composite. Its prime factorisation is

    31550=2×52×63131550 = 2 \times 5^{2} \times 631
  3. 3

    The divisors add up to 58776; without 31550 itself that is 27226, so 31550 is deficient (27226 is less than 31550). Euler's totient φ(31550) = 12600 numbers up to 31550 share no factor with it.

  4. 4

    The digits of 31550 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31550 = 2 \times 5^{2} \times 631 \]

31550 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors58776
Euler totient φ(n)12600
Square995402500
Cube31404948875000
Square root177.623197 (= 5√1262)
Digit sum / digital root14 / 5
Collatz steps to 185
Scientific notation3.155 × 10410^{4}

31550 in other forms

FormValue
In wordsthirty-one thousand five hundred and fifty
Binary (base 2)111101100111110
Octal (base 8)75476
Hexadecimal (base 16)7B3E
Base 31121021112
As time31550 seconds = 8 h 45 min 50 s

Is 31550 divisible by 2 to 12?

DivisorAnswerRule
2Yes (31550 ÷ 2 = 15775)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (31550 ÷ 5 = 6310)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (31550 ÷ 10 = 3155)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 31550 a prime number?

No. 31550 = 2 × 525^{2} × 631, so it is divisible by 2.

What are the factors of 31550?

1, 2, 5, 10, 25, 50, 631, 1262, 3155, 6310, 15775, 31550.

What is 31550 in binary?

111101100111110 (hexadecimal 7B3E, octal 75476).

What is the square root of 31550?

About 177.6232, exactly 5√1262.

Is 31550 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 31550?

It is a composite number with 12 divisors.

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    31550: is it prime? Factors, square root, binary, Roman numeral | WordGPT