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The number 99437

99437 is a composite number with 4 divisors. Its prime factorisation is 13 × 7649. Divisors (4): 1, 13, 7649, 99437.

Number

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How to work it out

  1. 1

    What is special about 99437: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 7649, the product of two primes.

  2. 2

    99437 is composite. Its prime factorisation is

    99437=13×764999437 = 13 \times 7649
  3. 3

    The divisors add up to 107100; without 99437 itself that is 7663, so 99437 is deficient (7663 is less than 99437). Euler's totient φ(99437) = 91776 numbers up to 99437 share no factor with it.

  4. 4

    The digits of 99437 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.

LaTeX source of the formulas on this page
\[ 99437 = 13 \times 7649 \]

99437 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors107100
Euler totient φ(n)91776
Square9887716969
Cube983204912246453
Square root315.336328
Digit sum / digital root32 / 5
Collatz steps to 1102
Scientific notation9.9437 × 10410^{4}

99437 in other forms

FormValue
In wordsninety-nine thousand four hundred and thirty-seven
Binary (base 2)11000010001101101
Octal (base 8)302155
Hexadecimal (base 16)1846D
Base 312001101212
As time99437 seconds = 27 h 37 min 17 s

Is 99437 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 2)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 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 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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 99437 a prime number?

No. 99437 = 13 × 7649, so it is divisible by 13.

What are the factors of 99437?

1, 13, 7649, 99437.

What is 99437 in binary?

11000010001101101 (hexadecimal 1846D, octal 302155).

What is the square root of 99437?

About 315.3363.

Is 99437 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 99437?

99437 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 7649, the product of two primes.

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