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The number 31497

31497 is a composite number with 4 divisors. Its prime factorisation is 3 × 10499. Divisors (4): 1, 3, 10499, 31497.

Number

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How to work it out

  1. 1

    What is special about 31497: a semiprime: 3 × 10499, the product of two primes.

  2. 2

    31497 is composite. Its prime factorisation is

    31497=3×1049931497 = 3 \times 10499
  3. 3

    The divisors add up to 42000; without 31497 itself that is 10503, so 31497 is deficient (10503 is less than 31497). Euler's totient φ(31497) = 20996 numbers up to 31497 share no factor with it.

  4. 4

    The digits of 31497 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31497 = 3 \times 10499 \]

31497 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors42000
Euler totient φ(n)20996
Square992061009
Cube31246945600473
Square root177.473942
Digit sum / digital root24 / 6
Collatz steps to 185
Scientific notation3.1497 × 10410^{4}

31497 in other forms

FormValue
In wordsthirty-one thousand four hundred and ninety-seven
Binary (base 2)111101100001001
Octal (base 8)75411
Hexadecimal (base 16)7B09
Base 31121012120
As time31497 seconds = 8 h 44 min 57 s

Is 31497 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 (31497 ÷ 3 = 10499)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)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 1)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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 31497 a prime number?

No. 31497 = 3 × 10499, so it is divisible by 3.

What are the factors of 31497?

1, 3, 10499, 31497.

What is 31497 in binary?

111101100001001 (hexadecimal 7B09, octal 75411).

What is the square root of 31497?

About 177.4739.

Is 31497 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 31497?

31497 is a semiprime: 3 × 10499, the product of two primes.

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