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The number 4901

4901 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 29. Divisors (6): 1, 13, 29, 169, 377, 4901.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    4901 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

    4901 is composite. Its prime factorisation is

    4901=132Ɨ294901 = 13^{2} \times 29
  3. 3

    The divisors add up to 5490; without 4901 itself that is 589, so 4901 is deficient (589 is less than 4901). Euler's totient φ(4901) = 4368 numbers up to 4901 share no factor with it.

  4. 4

    The digits of 4901 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.

LaTeX source of the formulas on this page
\[ 4901 = 13^{2} \times 29 \]

4901 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors5490
Euler totient φ(n)4368
Square24019801
Cube117721044701
Square root70.007142 (= 13√29)
Digit sum / digital root14 / 5
Collatz steps to 1134
Scientific notation4.901 Ɨ 10310^{3}

4901 in other forms

FormValue
In wordsfour thousand nine hundred and one
Binary (base 2)1001100100101
Octal (base 8)11445
Hexadecimal (base 16)1325
Base 320201112
As time4901 seconds = 1 h 21 min 41 s

Is 4901 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 1)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.
7No (remainder 1)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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)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 4901 a prime number?

No. 4901 = 13213^{2} Ɨ 29, so it is divisible by 13.

What are the factors of 4901?

1, 13, 29, 169, 377, 4901.

What is 4901 in binary?

1001100100101 (hexadecimal 1325, octal 11445).

What is the square root of 4901?

About 70.0071, exactly 13√29.

Is 4901 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 4901?

It is a composite number with 6 divisors.

All about 4901

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    4901: is it prime? Factors, square root, binary, Roman numeral | WordGPT