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The number 94913

94913 is a composite number with 12 divisors. Its prime factorisation is 727^{2} × 13 × 149. Divisors (12): 1, 7, 13, 49, 91, 149, 637, 1043, 1937, 7301, 13559, 94913.

Number

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How to work it out

  1. 1

    What is special about 94913: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    94913 is composite. Its prime factorisation is

    94913=72×13×14994913 = 7^{2} \times 13 \times 149
  3. 3

    The divisors add up to 119700; without 94913 itself that is 24787, so 94913 is deficient (24787 is less than 94913). Euler's totient φ(94913) = 74592 numbers up to 94913 share no factor with it.

  4. 4

    The digits of 94913 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 40 steps to reach 1.

LaTeX source of the formulas on this page
\[ 94913 = 7^{2} \times 13 \times 149 \]

94913 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors119700
Euler totient φ(n)74592
Square9008477569
Cube855021631506497
Square root308.079535 (= 7√1937)
Digit sum / digital root26 / 8
Collatz steps to 140
Scientific notation9.4913 × 10410^{4}

94913 in other forms

FormValue
In wordsninety-four thousand nine hundred and thirteen
Binary (base 2)10111001011000001
Octal (base 8)271301
Hexadecimal (base 16)172C1
Base 311211012022
As time94913 seconds = 26 h 21 min 53 s

Is 94913 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 3)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 (94913 ÷ 7 = 13559)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 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)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 94913 a prime number?

No. 94913 = 727^{2} × 13 × 149, so it is divisible by 7.

What are the factors of 94913?

1, 7, 13, 49, 91, 149, 637, 1043, 1937, 7301, 13559, 94913.

What is 94913 in binary?

10111001011000001 (hexadecimal 172C1, octal 271301).

What is the square root of 94913?

About 308.0795, exactly 7√1937.

Is 94913 divisible by 3?

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

What is special about the number 94913?

94913 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    94913: is it prime? Factors, square root, binary, Roman numeral | WordGPT