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The number 3479

3479 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 71. Divisors (6): 1, 7, 49, 71, 497, 3479.

Number

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How to work it out

  1. 1

    3479 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

    3479 is composite. Its prime factorisation is

    3479=72Ɨ713479 = 7^{2} \times 71
  3. 3

    The divisors add up to 4104; without 3479 itself that is 625, so 3479 is deficient (625 is less than 3479). Euler's totient φ(3479) = 2940 numbers up to 3479 share no factor with it.

  4. 4

    The digits of 3479 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.

LaTeX source of the formulas on this page
\[ 3479 = 7^{2} \times 71 \]

3479 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors4104
Euler totient φ(n)2940
Square12103441
Cube42107871239
Square root58.983048 (= 7√71)
Digit sum / digital root23 / 5
Collatz steps to 156
Scientific notation3.479 Ɨ 10310^{3}

3479 in other forms

FormValue
In wordsthree thousand four hundred and seventy-nine
Roman numeralsMMMCDLXXIX
Binary (base 2)110110010111
Octal (base 8)6627
Hexadecimal (base 16)D97
Base 311202212
As time3479 seconds = 57 min 59 s

Is 3479 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 2)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (3479 Ć· 7 = 497)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 7)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.
10No (remainder 9)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 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 3479 a prime number?

No. 3479 = 727^{2} Ɨ 71, so it is divisible by 7.

What are the factors of 3479?

1, 7, 49, 71, 497, 3479.

What is 3479 in binary?

110110010111 (hexadecimal D97, octal 6627).

What is the square root of 3479?

About 58.9830, exactly 7√71.

What is 3479 in Roman numerals?

MMMCDLXXIX.

Is 3479 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 3479?

It is a composite number with 6 divisors.

All about 3479

Find the next one

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    3479: is it prime? Factors, square root, binary, Roman numeral | WordGPT