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The number 31474

31474 is a composite number with 4 divisors. Its prime factorisation is 2 × 15737. Divisors (4): 1, 2, 15737, 31474.

Number

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How to work it out

  1. 1

    What is special about 31474: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 15737, the product of two primes.

  2. 2

    31474 is composite. Its prime factorisation is

    31474=2×1573731474 = 2 \times 15737
  3. 3

    The divisors add up to 47214; without 31474 itself that is 15740, so 31474 is deficient (15740 is less than 31474). Euler's totient φ(31474) = 15736 numbers up to 31474 share no factor with it.

  4. 4

    The digits of 31474 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31474 = 2 \times 15737 \]

31474 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors47214
Euler totient φ(n)15736
Square990612676
Cube31178543364424
Square root177.409132
Digit sum / digital root19 / 1
Collatz steps to 185
Scientific notation3.1474 × 10410^{4}

31474 in other forms

FormValue
In wordsthirty-one thousand four hundred and seventy-four
Binary (base 2)111101011110010
Octal (base 8)75362
Hexadecimal (base 16)7AF2
Base 31121011201
As time31474 seconds = 8 h 44 min 34 s

Is 31474 divisible by 2 to 12?

DivisorAnswerRule
2Yes (31474 ÷ 2 = 15737)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)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.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 31474 a prime number?

No. 31474 = 2 × 15737, so it is divisible by 2.

What are the factors of 31474?

1, 2, 15737, 31474.

What is 31474 in binary?

111101011110010 (hexadecimal 7AF2, octal 75362).

What is the square root of 31474?

About 177.4091.

Is 31474 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 31474?

31474 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 15737, the product of two primes.

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    31474: is it prime? Factors, square root, binary, Roman numeral | WordGPT