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The number 77981

77981 is a composite number with 4 divisors. Its prime factorisation is 29 × 2689. Divisors (4): 1, 29, 2689, 77981.

Number

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How to work it out

  1. 1

    What is special about 77981: a semiprime: 29 × 2689, the product of two primes.

  2. 2

    77981 is composite. Its prime factorisation is

    77981=29×268977981 = 29 \times 2689
  3. 3

    The divisors add up to 80700; without 77981 itself that is 2719, so 77981 is deficient (2719 is less than 77981). Euler's totient φ(77981) = 75264 numbers up to 77981 share no factor with it.

  4. 4

    The digits of 77981 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 125 steps to reach 1.

LaTeX source of the formulas on this page
\[ 77981 = 29 \times 2689 \]

77981 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors80700
Euler totient φ(n)75264
Square6081036361
Cube474205296467141
Square root279.250783
Digit sum / digital root32 / 5
Collatz steps to 1125
Scientific notation7.7981 × 10410^{4}

77981 in other forms

FormValue
In wordsseventy-seven thousand nine hundred and eighty-one
Binary (base 2)10011000010011101
Octal (base 8)230235
Hexadecimal (base 16)1309D
Base 310221222012
As time77981 seconds = 21 h 39 min 41 s

Is 77981 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 1)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 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 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 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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 77981 a prime number?

No. 77981 = 29 × 2689, so it is divisible by 29.

What are the factors of 77981?

1, 29, 2689, 77981.

What is 77981 in binary?

10011000010011101 (hexadecimal 1309D, octal 230235).

What is the square root of 77981?

About 279.2508.

Is 77981 divisible by 3?

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

What is special about the number 77981?

77981 is a semiprime: 29 × 2689, the product of two primes.

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    77981: is it prime? Factors, square root, binary, Roman numeral | WordGPT