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The number 3469

3469 is a twin prime (3467 and 3469 are both prime) and the 487th prime number. Its only divisors are 1 and 3469.

Number

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How to work it out

  1. 1

    What is special about 3469: a twin prime (3467 and 3469 are both prime); the 487th prime number.

  2. 2

    3469 is prime, so its only factors are 1 and 3469. It is the 487th prime; the next prime is 3491 and the one before is 3467.

  3. 3

    The divisors add up to 3470; without 3469 itself that is 1, so 3469 is deficient (1 is less than 3469). Euler's totient φ(3469) = 3468 numbers up to 3469 share no factor with it.

  4. 4

    The digits of 3469 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.

3469 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors3470
Euler totient φ(n)3468
Square12033961
Cube41745810709
Square root58.898217
Digit sum / digital root22 / 4
Collatz steps to 130
Scientific notation3.469 × 10310^{3}

3469 in other forms

FormValue
In wordsthree thousand four hundred and sixty-nine
Roman numeralsMMMCDLXIX
Binary (base 2)110110001101
Octal (base 8)6615
Hexadecimal (base 16)D8D
Base 311202111
As time3469 seconds = 57 min 49 s

Is 3469 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 1)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 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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 3469 a prime number?

Yes. 3469 is divisible only by 1 and itself.

What are the factors of 3469?

1, 3469.

What is 3469 in binary?

110110001101 (hexadecimal D8D, octal 6615).

What is the square root of 3469?

About 58.8982.

What is 3469 in Roman numerals?

MMMCDLXIX.

Is 3469 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 3469?

3469 is a twin prime (3467 and 3469 are both prime); the 487th prime number.

All about 3469

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    3469: is it prime? Factors, square root, binary, Roman numeral | WordGPT