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The number 14977

14977 is a composite number with 4 divisors. Its prime factorisation is 17 × 881. Divisors (4): 1, 17, 881, 14977.

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How to work it out

  1. 1

    What is special about 14977: a semiprime: 17 × 881, the product of two primes.

  2. 2

    14977 is composite. Its prime factorisation is

    14977=17×88114977 = 17 \times 881
  3. 3

    The divisors add up to 15876; without 14977 itself that is 899, so 14977 is deficient (899 is less than 14977). Euler's totient φ(14977) = 14080 numbers up to 14977 share no factor with it.

  4. 4

    The digits of 14977 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 208 steps to reach 1.

LaTeX source of the formulas on this page
\[ 14977 = 17 \times 881 \]

14977 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors15876
Euler totient φ(n)14080
Square224310529
Cube3359498792833
Square root122.380554
Digit sum / digital root28 / 1
Collatz steps to 1208
Scientific notation1.4977 × 10410^{4}

14977 in other forms

FormValue
In wordsfourteen thousand nine hundred and seventy-seven
Binary (base 2)11101010000001
Octal (base 8)35201
Hexadecimal (base 16)3A81
Base 3202112201
As time14977 seconds = 4 h 9 min 37 s

Is 14977 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 4)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 1)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14977 a prime number?

No. 14977 = 17 × 881, so it is divisible by 17.

What are the factors of 14977?

1, 17, 881, 14977.

What is 14977 in binary?

11101010000001 (hexadecimal 3A81, octal 35201).

What is the square root of 14977?

About 122.3806.

Is 14977 divisible by 3?

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

What is special about the number 14977?

14977 is a semiprime: 17 × 881, the product of two primes.

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