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The number 5161

5161 is a composite number with 4 divisors. Its prime factorisation is 13 × 397. Divisors (4): 1, 13, 397, 5161.

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How to work it out

  1. 1

    What is special about 5161: a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 397, the product of two primes.

  2. 2

    5161 is composite. Its prime factorisation is

    5161=13×3975161 = 13 \times 397
  3. 3

    The divisors add up to 5572; without 5161 itself that is 411, so 5161 is deficient (411 is less than 5161). Euler's totient φ(5161) = 4752 numbers up to 5161 share no factor with it.

  4. 4

    The digits of 5161 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 116 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5161 = 13 \times 397 \]

5161 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors5572
Euler totient φ(n)4752
Square26635921
Cube137467988281
Square root71.840100
Digit sum / digital root13 / 4
Collatz steps to 1116
Scientific notation5.161 × 10310^{3}

5161 in other forms

FormValue
In wordsfive thousand one hundred and sixty-one
Binary (base 2)1010000101001
Octal (base 8)12051
Hexadecimal (base 16)1429
Base 321002011
As time5161 seconds = 1 h 26 min 1 s

Is 5161 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 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 1)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 2)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 5161 a prime number?

No. 5161 = 13 × 397, so it is divisible by 13.

What are the factors of 5161?

1, 13, 397, 5161.

What is 5161 in binary?

1010000101001 (hexadecimal 1429, octal 12051).

What is the square root of 5161?

About 71.8401.

Is 5161 divisible by 3?

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

What is special about the number 5161?

5161 is a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 397, the product of two primes.

All about 5161

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