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The number 4949

4949 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 101. Divisors (6): 1, 7, 49, 101, 707, 4949.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    4949 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

    4949 is composite. Its prime factorisation is

    4949=72Ɨ1014949 = 7^{2} \times 101
  3. 3

    The divisors add up to 5814; without 4949 itself that is 865, so 4949 is deficient (865 is less than 4949). Euler's totient φ(4949) = 4200 numbers up to 4949 share no factor with it.

  4. 4

    The digits of 4949 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.

LaTeX source of the formulas on this page
\[ 4949 = 7^{2} \times 101 \]

4949 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors5814
Euler totient φ(n)4200
Square24492601
Cube121213882349
Square root70.349129 (= 7√101)
Digit sum / digital root26 / 8
Collatz steps to 128
Scientific notation4.949 Ɨ 10310^{3}

4949 in other forms

FormValue
In wordsfour thousand nine hundred and forty-nine
Binary (base 2)1001101010101
Octal (base 8)11525
Hexadecimal (base 16)1355
Base 320210022
As time4949 seconds = 1 h 22 min 29 s

Is 4949 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 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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (4949 Ć· 7 = 707)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 8)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 4949 a prime number?

No. 4949 = 727^{2} Ɨ 101, so it is divisible by 7.

What are the factors of 4949?

1, 7, 49, 101, 707, 4949.

What is 4949 in binary?

1001101010101 (hexadecimal 1355, octal 11525).

What is the square root of 4949?

About 70.3491, exactly 7√101.

Is 4949 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 4949?

It is a composite number with 6 divisors.

All about 4949

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