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The number 377

377 is a Fibonacci number. Its prime factorisation is 13 × 29. Divisors (4): 1, 13, 29, 377.

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How to work it out

  1. 1

    What is special about 377: a Fibonacci number; a semiprime: 13 × 29, the product of two primes.

  2. 2

    377 is composite. Its prime factorisation is

    377=13×29377 = 13 \times 29
  3. 3

    The divisors add up to 420; without 377 itself that is 43, so 377 is deficient (43 is less than 377). Euler's totient φ(377) = 336 numbers up to 377 share no factor with it.

  4. 4

    The digits of 377 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.

LaTeX source of the formulas on this page
\[ 377 = 13 \times 29 \]

377 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors420
Euler totient φ(n)336
Square142129
Cube53582633
Square root19.416488
Digit sum / digital root17 / 8
Collatz steps to 163
Scientific notation3.77 × 10210^{2}

377 in other forms

FormValue
In wordsthree hundred and seventy-seven
Roman numeralsCCCLXXVII
Binary (base 2)101111001
Octal (base 8)571
Hexadecimal (base 16)179
Base 3111222
As time377 seconds = 6 min 17 s

Is 377 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 6)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 8)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 3)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 377 a prime number?

No. 377 = 13 × 29, so it is divisible by 13.

What are the factors of 377?

1, 13, 29, 377.

What is 377 in binary?

101111001 (hexadecimal 179, octal 571).

What is the square root of 377?

About 19.4165.

What is 377 in Roman numerals?

CCCLXXVII.

Is 377 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 377?

377 is a Fibonacci number; a semiprime: 13 × 29, the product of two primes.

All about 377

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