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The number 36977

36977 is a composite number with 4 divisors. Its prime factorisation is 103 × 359. Divisors (4): 1, 103, 359, 36977.

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How to work it out

  1. 1

    What is special about 36977: a semiprime: 103 × 359, the product of two primes.

  2. 2

    36977 is composite. Its prime factorisation is

    36977=103×35936977 = 103 \times 359
  3. 3

    The divisors add up to 37440; without 36977 itself that is 463, so 36977 is deficient (463 is less than 36977). Euler's totient φ(36977) = 36516 numbers up to 36977 share no factor with it.

  4. 4

    The digits of 36977 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 36 steps to reach 1.

LaTeX source of the formulas on this page
\[ 36977 = 103 \times 359 \]

36977 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors37440
Euler totient φ(n)36516
Square1367298529
Cube50558597706833
Square root192.294046
Digit sum / digital root32 / 5
Collatz steps to 136
Scientific notation3.6977 × 10410^{4}

36977 in other forms

FormValue
In wordsthirty-six thousand nine hundred and seventy-seven
Binary (base 2)1001000001110001
Octal (base 8)110161
Hexadecimal (base 16)9071
Base 31212201112
As time36977 seconds = 10 h 16 min 17 s

Is 36977 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 3)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 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 6)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 36977 a prime number?

No. 36977 = 103 × 359, so it is divisible by 103.

What are the factors of 36977?

1, 103, 359, 36977.

What is 36977 in binary?

1001000001110001 (hexadecimal 9071, octal 110161).

What is the square root of 36977?

About 192.2940.

Is 36977 divisible by 3?

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

What is special about the number 36977?

36977 is a semiprime: 103 × 359, the product of two primes.

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