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The number 40261

40261 is a composite number with 8 divisors. Its prime factorisation is 13 × 19 × 163. Divisors (8): 1, 13, 19, 163, 247, 2119, 3097, 40261.

Number

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How to work it out

  1. 1

    What is special about 40261: a Harshad number: divisible by its digit sum 13.

  2. 2

    40261 is composite. Its prime factorisation is

    40261=13×19×16340261 = 13 \times 19 \times 163
  3. 3

    The divisors add up to 45920; without 40261 itself that is 5659, so 40261 is deficient (5659 is less than 40261). Euler's totient φ(40261) = 34992 numbers up to 40261 share no factor with it.

  4. 4

    The digits of 40261 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.

LaTeX source of the formulas on this page
\[ 40261 = 13 \times 19 \times 163 \]

40261 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors45920
Euler totient φ(n)34992
Square1620948121
Cube65260992299581
Square root200.651439
Digit sum / digital root13 / 4
Collatz steps to 144
Scientific notation4.0261 × 10410^{4}

40261 in other forms

FormValue
In wordsforty thousand two hundred and sixty-one
Binary (base 2)1001110101000101
Octal (base 8)116505
Hexadecimal (base 16)9D45
Base 32001020011
As time40261 seconds = 11 h 11 min 1 s

Is 40261 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 1)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 40261 a prime number?

No. 40261 = 13 × 19 × 163, so it is divisible by 13.

What are the factors of 40261?

1, 13, 19, 163, 247, 2119, 3097, 40261.

What is 40261 in binary?

1001110101000101 (hexadecimal 9D45, octal 116505).

What is the square root of 40261?

About 200.6514.

Is 40261 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 40261?

40261 is a Harshad number: divisible by its digit sum 13.

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    40261: is it prime? Factors, square root, binary, Roman numeral | WordGPT