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The number 88831

88831 is a triangular number: 1 + 2 + … + 421 = 88831. Its prime factorisation is 211 × 421. Divisors (4): 1, 211, 421, 88831.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 88831: a triangular number: 1 + 2 + … + 421 = 88831; a semiprime: 211 × 421, the product of two primes.

  2. 2

    88831 is composite. Its prime factorisation is

    88831=211×42188831 = 211 \times 421
  3. 3

    The divisors add up to 89464; without 88831 itself that is 633, so 88831 is deficient (633 is less than 88831). Euler's totient φ(88831) = 88200 numbers up to 88831 share no factor with it.

  4. 4

    The digits of 88831 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.

LaTeX source of the formulas on this page
\[ 88831 = 211 \times 421 \]

88831 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors89464
Euler totient φ(n)88200
Square7890946561
Cube700960673960191
Square root298.045299
Digit sum / digital root28 / 1
Collatz steps to 1120
Scientific notation8.8831 × 10410^{4}

88831 in other forms

FormValue
In wordseighty-eight thousand eight hundred and thirty-one
Binary (base 2)10101101011111111
Octal (base 8)255377
Hexadecimal (base 16)15AFF
Base 311111212001
As time88831 seconds = 24 h 40 min 31 s

Is 88831 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 3)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 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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 88831 a prime number?

No. 88831 = 211 × 421, so it is divisible by 211.

What are the factors of 88831?

1, 211, 421, 88831.

What is 88831 in binary?

10101101011111111 (hexadecimal 15AFF, octal 255377).

What is the square root of 88831?

About 298.0453.

Is 88831 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 88831?

88831 is a triangular number: 1 + 2 + … + 421 = 88831; a semiprime: 211 × 421, the product of two primes.

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