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The number 72697

72697 is a composite number with 4 divisors. Its prime factorisation is 139 × 523. Divisors (4): 1, 139, 523, 72697.

Number

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How to work it out

  1. 1

    What is special about 72697: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 139 × 523, the product of two primes.

  2. 2

    72697 is composite. Its prime factorisation is

    72697=139×52372697 = 139 \times 523
  3. 3

    The divisors add up to 73360; without 72697 itself that is 663, so 72697 is deficient (663 is less than 72697). Euler's totient φ(72697) = 72036 numbers up to 72697 share no factor with it.

  4. 4

    The digits of 72697 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.

LaTeX source of the formulas on this page
\[ 72697 = 139 \times 523 \]

72697 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors73360
Euler totient φ(n)72036
Square5284853809
Cube384193017352873
Square root269.623812
Digit sum / digital root31 / 4
Collatz steps to 1187
Scientific notation7.2697 × 10410^{4}

72697 in other forms

FormValue
In wordsseventy-two thousand six hundred and ninety-seven
Binary (base 2)10001101111111001
Octal (base 8)215771
Hexadecimal (base 16)11BF9
Base 310200201111
As time72697 seconds = 20 h 11 min 37 s

Is 72697 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 2)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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 72697 a prime number?

No. 72697 = 139 × 523, so it is divisible by 139.

What are the factors of 72697?

1, 139, 523, 72697.

What is 72697 in binary?

10001101111111001 (hexadecimal 11BF9, octal 215771).

What is the square root of 72697?

About 269.6238.

Is 72697 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 72697?

72697 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 139 × 523, the product of two primes.

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