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The number 1374

1374 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 229. Divisors (8): 1, 2, 3, 6, 229, 458, 687, 1374.

Number

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How to work it out

  1. 1

    1374 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    1374 is composite. Its prime factorisation is

    1374=2×3×2291374 = 2 \times 3 \times 229
  3. 3

    The divisors add up to 2760; without 1374 itself that is 1386, so 1374 is abundant (1386 is more than 1374). Euler's totient φ(1374) = 456 numbers up to 1374 share no factor with it.

  4. 4

    The digits of 1374 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.

LaTeX source of the formulas on this page
\[ 1374 = 2 \times 3 \times 229 \]

1374 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors2760
Euler totient φ(n)456
Square1887876
Cube2593941624
Square root37.067506
Digit sum / digital root15 / 6
Collatz steps to 139
Scientific notation1.374 × 10310^{3}

1374 in other forms

FormValue
In wordsone thousand three hundred and seventy-four
Roman numeralsMCCCLXXIV
Binary (base 2)10101011110
Octal (base 8)2536
Hexadecimal (base 16)55E
Base 31212220
As time1374 seconds = 22 min 54 s

Is 1374 divisible by 2 to 12?

DivisorAnswerRule
2Yes (1374 ÷ 2 = 687)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (1374 ÷ 3 = 458)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (1374 ÷ 6 = 229)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 1374 a prime number?

No. 1374 = 2 × 3 × 229, so it is divisible by 2.

What are the factors of 1374?

1, 2, 3, 6, 229, 458, 687, 1374.

What is 1374 in binary?

10101011110 (hexadecimal 55E, octal 2536).

What is the square root of 1374?

About 37.0675.

What is 1374 in Roman numerals?

MCCCLXXIV.

Is 1374 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 1374?

It is a composite number with 8 divisors.

All about 1374

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    1374: is it prime? Factors, square root, binary, Roman numeral | WordGPT