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The number 11901

11901 is a composite number with 4 divisors. Its prime factorisation is 3 × 3967. Divisors (4): 1, 3, 3967, 11901.

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How to work it out

  1. 1

    What is special about 11901: a semiprime: 3 × 3967, the product of two primes.

  2. 2

    11901 is composite. Its prime factorisation is

    11901=3×396711901 = 3 \times 3967
  3. 3

    The divisors add up to 15872; without 11901 itself that is 3971, so 11901 is deficient (3971 is less than 11901). Euler's totient φ(11901) = 7932 numbers up to 11901 share no factor with it.

  4. 4

    The digits of 11901 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.

LaTeX source of the formulas on this page
\[ 11901 = 3 \times 3967 \]

11901 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors15872
Euler totient φ(n)7932
Square141633801
Cube1685583865701
Square root109.091705
Digit sum / digital root12 / 3
Collatz steps to 150
Scientific notation1.1901 × 10410^{4}

11901 in other forms

FormValue
In wordseleven thousand nine hundred and one
Binary (base 2)10111001111101
Octal (base 8)27175
Hexadecimal (base 16)2E7D
Base 3121022210
As time11901 seconds = 3 h 18 min 21 s

Is 11901 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).
3Yes (11901 ÷ 3 = 3967)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 3)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 3)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 11901 a prime number?

No. 11901 = 3 × 3967, so it is divisible by 3.

What are the factors of 11901?

1, 3, 3967, 11901.

What is 11901 in binary?

10111001111101 (hexadecimal 2E7D, octal 27175).

What is the square root of 11901?

About 109.0917.

Is 11901 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 11901?

11901 is a semiprime: 3 × 3967, the product of two primes.

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