WordGPT

The number 31699

31699 is the 3409th prime number. Its only divisors are 1 and 31699.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 31699: the 3409th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    31699 is prime, so its only factors are 1 and 31699. It is the 3409th prime; the next prime is 31721 and the one before is 31687.

  3. 3

    The divisors add up to 31700; without 31699 itself that is 1, so 31699 is deficient (1 is less than 31699). Euler's totient φ(31699) = 31698 numbers up to 31699 share no factor with it.

  4. 4

    The digits of 31699 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.

31699 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors31700
Euler totient φ(n)31698
Square1004826601
Cube31851998425099
Square root178.042130
Digit sum / digital root28 / 1
Collatz steps to 159
Scientific notation3.1699 × 10410^{4}

31699 in other forms

FormValue
In wordsthirty-one thousand six hundred and ninety-nine
Binary (base 2)111101111010011
Octal (base 8)75723
Hexadecimal (base 16)7BD3
Base 31121111001
As time31699 seconds = 8 h 48 min 19 s

Is 31699 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).
3No (remainder 1)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 31699 a prime number?

Yes. 31699 is divisible only by 1 and itself.

What are the factors of 31699?

1, 31699.

What is 31699 in binary?

111101111010011 (hexadecimal 7BD3, octal 75723).

What is the square root of 31699?

About 178.0421.

Is 31699 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 31699?

31699 is the 3409th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.

All about 31699

Find the next one

Nearby numbers

    31699: is it prime? Factors, square root, binary, Roman numeral | WordGPT