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The number 34988

34988 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 8747. Divisors (6): 1, 2, 4, 8747, 17494, 34988.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    34988 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

    34988 is composite. Its prime factorisation is

    34988=22×874734988 = 2^{2} \times 8747
  3. 3

    The divisors add up to 61236; without 34988 itself that is 26248, so 34988 is deficient (26248 is less than 34988). Euler's totient φ(34988) = 17492 numbers up to 34988 share no factor with it.

  4. 4

    The digits of 34988 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 34988 = 2^{2} \times 8747 \]

34988 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors61236
Euler totient φ(n)17492
Square1224160144
Cube42830915118272
Square root187.050795 (= 2√8747)
Digit sum / digital root32 / 5
Collatz steps to 149
Scientific notation3.4988 × 10410^{4}

34988 in other forms

FormValue
In wordsthirty-four thousand nine hundred and eighty-eight
Binary (base 2)1000100010101100
Octal (base 8)104254
Hexadecimal (base 16)88AC
Base 31202222212
As time34988 seconds = 9 h 43 min 8 s

Is 34988 divisible by 2 to 12?

DivisorAnswerRule
2Yes (34988 ÷ 2 = 17494)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.
4Yes (34988 ÷ 4 = 8747)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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 4)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 8)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 34988 a prime number?

No. 34988 = 222^{2} × 8747, so it is divisible by 2.

What are the factors of 34988?

1, 2, 4, 8747, 17494, 34988.

What is 34988 in binary?

1000100010101100 (hexadecimal 88AC, octal 104254).

What is the square root of 34988?

About 187.0508, exactly 2√8747.

Is 34988 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 34988?

It is a composite number with 6 divisors.

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    34988: is it prime? Factors, square root, binary, Roman numeral | WordGPT